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Finding the Fourth Proportional to 442,861.14, 664,397.16 and 143,341.77

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Solution

The fourth proportional to 442,861.14, 664,397.16 and 143,341.77 is: 215,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,861.14 : 664,397.16 = 143,341.77 : x
  2. Step 2: Convert to fraction form
    442,861.14/664,397.16 = 143,341.77/x
  3. Step 3: Cross multiply
    442,861.14x = 664,397.16 × 143,341.77
  4. Step 4: Simplify right side
    442,861.14x = 95,235,864,897.37
  5. Step 5: Solve for x
    x = 95,235,864,897.37/442,861.14
  6. Step 6: Final answer
    x = 215,046.79

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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.