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Finding the Fourth Proportional to 402,761.22, 605,397.06 and 253,957.74

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Solution

The fourth proportional to 402,761.22, 605,397.06 and 253,957.74 is: 381,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,761.22 : 605,397.06 = 253,957.74 : x
  2. Step 2: Convert to fraction form
    402,761.22/605,397.06 = 253,957.74/x
  3. Step 3: Cross multiply
    402,761.22x = 605,397.06 × 253,957.74
  4. Step 4: Simplify right side
    402,761.22x = 153,745,269,160.24
  5. Step 5: Solve for x
    x = 153,745,269,160.24/402,761.22
  6. Step 6: Final answer
    x = 381,728.08

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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.