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Finding the Fourth Proportional to 461,409.85, 690,864.13 and 239,327.29

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Solution

The fourth proportional to 461,409.85, 690,864.13 and 239,327.29 is: 358,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,409.85 : 690,864.13 = 239,327.29 : x
  2. Step 2: Convert to fraction form
    461,409.85/690,864.13 = 239,327.29/x
  3. Step 3: Cross multiply
    461,409.85x = 690,864.13 × 239,327.29
  4. Step 4: Simplify right side
    461,409.85x = 165,342,639,991.11
  5. Step 5: Solve for x
    x = 165,342,639,991.11/461,409.85
  6. Step 6: Final answer
    x = 358,342.24

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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.