Finding the Fourth Proportional to 409,652.96, 614,512.25 and 313,728.44
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Solution
The fourth proportional to 409,652.96, 614,512.25 and 313,728.44 is: 470,617.78
Step by Step Solution
- Step 1: Write the proportion equation
409,652.96 : 614,512.25 = 313,728.44 : x - Step 2: Convert to fraction form
409,652.96/614,512.25 = 313,728.44/x - Step 3: Cross multiply
409,652.96x = 614,512.25 × 313,728.44 - Step 4: Simplify right side
409,652.96x = 192,789,964,912.19 - Step 5: Solve for x
x = 192,789,964,912.19/409,652.96 - Step 6: Final answer
x = 470,617.78
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.