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Finding the Fourth Proportional to 402,854.97, 604,282.56 and 103,335.47

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Solution

The fourth proportional to 402,854.97, 604,282.56 and 103,335.47 is: 155,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,854.97 : 604,282.56 = 103,335.47 : x
  2. Step 2: Convert to fraction form
    402,854.97/604,282.56 = 103,335.47/x
  3. Step 3: Cross multiply
    402,854.97x = 604,282.56 × 103,335.47
  4. Step 4: Simplify right side
    402,854.97x = 62,443,822,350.40
  5. Step 5: Solve for x
    x = 62,443,822,350.40/402,854.97
  6. Step 6: Final answer
    x = 155,003.23

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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.