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Finding the Fourth Proportional to 465,498, 642,387.24 and 253,530

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Solution

The fourth proportional to 465,498, 642,387.24 and 253,530 is: 349,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,498 : 642,387.24 = 253,530 : x
  2. Step 2: Convert to fraction form
    465,498/642,387.24 = 253,530/x
  3. Step 3: Cross multiply
    465,498x = 642,387.24 × 253,530
  4. Step 4: Simplify right side
    465,498x = 162,864,436,957.20
  5. Step 5: Solve for x
    x = 162,864,436,957.20/465,498
  6. Step 6: Final answer
    x = 349,871.40

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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.