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Finding the Fourth Proportional to 402,753.72, 604,233.12 and 118,454.40

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Solution

The fourth proportional to 402,753.72, 604,233.12 and 118,454.40 is: 177,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,753.72 : 604,233.12 = 118,454.40 : x
  2. Step 2: Convert to fraction form
    402,753.72/604,233.12 = 118,454.40/x
  3. Step 3: Cross multiply
    402,753.72x = 604,233.12 × 118,454.40
  4. Step 4: Simplify right side
    402,753.72x = 71,574,071,689.73
  5. Step 5: Solve for x
    x = 71,574,071,689.73/402,753.72
  6. Step 6: Final answer
    x = 177,711.76

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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.