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Finding the Fourth Proportional to 462,406, 693,609 and 129,982

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Solution

The fourth proportional to 462,406, 693,609 and 129,982 is: 194,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,406 : 693,609 = 129,982 : x
  2. Step 2: Convert to fraction form
    462,406/693,609 = 129,982/x
  3. Step 3: Cross multiply
    462,406x = 693,609 × 129,982
  4. Step 4: Simplify right side
    462,406x = 90,156,685,038
  5. Step 5: Solve for x
    x = 90,156,685,038/462,406
  6. Step 6: Final answer
    x = 194,973

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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.