Proportion, Inverse Variation & Scale Calculator
Solve direct and inverse proportions, calculate map/blueprint scaling factors, and analyze relational constants
Direct Ratio Equality: A : B = C : D
:
=
:
Calculated Direct Proportion Term (D)
D = 25.000
Directly Proportional (y = kx)
Formula: D = (B · C) / A = (5 · 20) / 4 = 100 / 4
Proportionality Constant (k = B/A)
1.2500
Multiplier constant factor
Cross Product Equality (A · D = B · C)
100.00 = 100.00
Equation balance verified
Scale Factor (C ÷ A)
5.0000×
Left-to-right growth factor
Ratio Quotient (A/B = C/D)
0.8000
Fractional equivalence
Inverse Variation: A · B = C · X (e.g., Workers vs. Time)
e.g., 6 workers
×
e.g., 8 hours
=
e.g., 4 workers
×
e.g., 12 hours
Solved Inverse Variable (X)
X = 12.000
Inversely Proportional (y = k / x)
Formula: X = (A · B) / C = (6 · 8) / 4 = 48 / 4
Constant Product (k = A · B)
48.000
Invariant work product total
Inverse Ratio (C ÷ A)
0.6667×
Input factor reduction
Output Expansion Factor
1.5000×
Output time increase
Verification Check
48.00 = 48.00
A · B equals C · X
:
Same unit base
Calculated Real-World Distance
2.25 Kilometers
225,000 cm • 2,250 Meters • 1.398 Miles
Meters Equivalent
2,250.00 m
Real distance in meters
Kilometers Equivalent
2.250 km
Real distance in kilometers
Miles Equivalent
1.398 mi
Statute miles
Scale Reduction Factor
1 : 50,000
Topographic map scale