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Finding the Fourth Proportional to 462,366, 693,549 and 129,942

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Solution

The fourth proportional to 462,366, 693,549 and 129,942 is: 194,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,366 : 693,549 = 129,942 : x
  2. Step 2: Convert to fraction form
    462,366/693,549 = 129,942/x
  3. Step 3: Cross multiply
    462,366x = 693,549 × 129,942
  4. Step 4: Simplify right side
    462,366x = 90,121,144,158
  5. Step 5: Solve for x
    x = 90,121,144,158/462,366
  6. Step 6: Final answer
    x = 194,913

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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.