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Finding the Fourth Proportional to 698,781.71, 964,296.43 and 392,871.04

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Solution

The fourth proportional to 698,781.71, 964,296.43 and 392,871.04 is: 542,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,781.71 : 964,296.43 = 392,871.04 : x
  2. Step 2: Convert to fraction form
    698,781.71/964,296.43 = 392,871.04/x
  3. Step 3: Cross multiply
    698,781.71x = 964,296.43 × 392,871.04
  4. Step 4: Simplify right side
    698,781.71x = 378,844,137,929.47
  5. Step 5: Solve for x
    x = 378,844,137,929.47/698,781.71
  6. Step 6: Final answer
    x = 542,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.