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Finding the Fourth Proportional to 442,666.13, 663,815.89 and 138,958.81

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Solution

The fourth proportional to 442,666.13, 663,815.89 and 138,958.81 is: 208,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,666.13 : 663,815.89 = 138,958.81 : x
  2. Step 2: Convert to fraction form
    442,666.13/663,815.89 = 138,958.81/x
  3. Step 3: Cross multiply
    442,666.13x = 663,815.89 × 138,958.81
  4. Step 4: Simplify right side
    442,666.13x = 92,243,062,119.62
  5. Step 5: Solve for x
    x = 92,243,062,119.62/442,666.13
  6. Step 6: Final answer
    x = 208,380.66

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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.