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Finding the Fourth Proportional to 407,532.16, 610,436.40 and 257,695.12

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Solution

The fourth proportional to 407,532.16, 610,436.40 and 257,695.12 is: 385,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,532.16 : 610,436.40 = 257,695.12 : x
  2. Step 2: Convert to fraction form
    407,532.16/610,436.40 = 257,695.12/x
  3. Step 3: Cross multiply
    407,532.16x = 610,436.40 × 257,695.12
  4. Step 4: Simplify right side
    407,532.16x = 157,306,481,350.37
  5. Step 5: Solve for x
    x = 157,306,481,350.37/407,532.16
  6. Step 6: Final answer
    x = 385,997.71

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1.5x scale

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.