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Finding the Fourth Proportional to 474,942.59, 712,264.89 and 138,006.53

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Solution

The fourth proportional to 474,942.59, 712,264.89 and 138,006.53 is: 206,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,942.59 : 712,264.89 = 138,006.53 : x
  2. Step 2: Convert to fraction form
    474,942.59/712,264.89 = 138,006.53/x
  3. Step 3: Cross multiply
    474,942.59x = 712,264.89 × 138,006.53
  4. Step 4: Simplify right side
    474,942.59x = 98,297,205,909.73
  5. Step 5: Solve for x
    x = 98,297,205,909.73/474,942.59
  6. Step 6: Final answer
    x = 206,966.50

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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.