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Finding the Fourth Proportional to 627,007.28, 865,407.72 and 412,167.12

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Solution

The fourth proportional to 627,007.28, 865,407.72 and 412,167.12 is: 568,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,007.28 : 865,407.72 = 412,167.12 : x
  2. Step 2: Convert to fraction form
    627,007.28/865,407.72 = 412,167.12/x
  3. Step 3: Cross multiply
    627,007.28x = 865,407.72 × 412,167.12
  4. Step 4: Simplify right side
    627,007.28x = 356,692,607,578.17
  5. Step 5: Solve for x
    x = 356,692,607,578.17/627,007.28
  6. Step 6: Final answer
    x = 568,881.13

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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.