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Finding the Fourth Proportional to 465,930, 698,895 and 133,506

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Solution

The fourth proportional to 465,930, 698,895 and 133,506 is: 200,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,930 : 698,895 = 133,506 : x
  2. Step 2: Convert to fraction form
    465,930/698,895 = 133,506/x
  3. Step 3: Cross multiply
    465,930x = 698,895 × 133,506
  4. Step 4: Simplify right side
    465,930x = 93,306,675,870
  5. Step 5: Solve for x
    x = 93,306,675,870/465,930
  6. Step 6: Final answer
    x = 200,259

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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.