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Finding the Fourth Proportional to 402,757.14, 604,121.52 and 103,240.20

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Solution

The fourth proportional to 402,757.14, 604,121.52 and 103,240.20 is: 154,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,757.14 : 604,121.52 = 103,240.20 : x
  2. Step 2: Convert to fraction form
    402,757.14/604,121.52 = 103,240.20/x
  3. Step 3: Cross multiply
    402,757.14x = 604,121.52 × 103,240.20
  4. Step 4: Simplify right side
    402,757.14x = 62,369,626,549.10
  5. Step 5: Solve for x
    x = 62,369,626,549.10/402,757.14
  6. Step 6: Final answer
    x = 154,856.66

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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.