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Finding the Fourth Proportional to 406,082.76, 609,262.56 and 121,780.29

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Solution

The fourth proportional to 406,082.76, 609,262.56 and 121,780.29 is: 182,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,082.76 : 609,262.56 = 121,780.29 : x
  2. Step 2: Convert to fraction form
    406,082.76/609,262.56 = 121,780.29/x
  3. Step 3: Cross multiply
    406,082.76x = 609,262.56 × 121,780.29
  4. Step 4: Simplify right side
    406,082.76x = 74,196,171,242.94
  5. Step 5: Solve for x
    x = 74,196,171,242.94/406,082.76
  6. Step 6: Final answer
    x = 182,711.95

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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.