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Finding the Fourth Proportional to 406,565.71, 609,849.90 and 102,959.70

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Solution

The fourth proportional to 406,565.71, 609,849.90 and 102,959.70 is: 154,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,565.71 : 609,849.90 = 102,959.70 : x
  2. Step 2: Convert to fraction form
    406,565.71/609,849.90 = 102,959.70/x
  3. Step 3: Cross multiply
    406,565.71x = 609,849.90 × 102,959.70
  4. Step 4: Simplify right side
    406,565.71x = 62,789,962,749.03
  5. Step 5: Solve for x
    x = 62,789,962,749.03/406,565.71
  6. Step 6: Final answer
    x = 154,439.89

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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.