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Finding the Fourth Proportional to 442,864.57, 664,402.31 and 143,345.20

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Solution

The fourth proportional to 442,864.57, 664,402.31 and 143,345.20 is: 215,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,864.57 : 664,402.31 = 143,345.20 : x
  2. Step 2: Convert to fraction form
    442,864.57/664,402.31 = 143,345.20/x
  3. Step 3: Cross multiply
    442,864.57x = 664,402.31 × 143,345.20
  4. Step 4: Simplify right side
    442,864.57x = 95,238,882,007.41
  5. Step 5: Solve for x
    x = 95,238,882,007.41/442,864.57
  6. Step 6: Final answer
    x = 215,051.93

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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.