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Finding the Fourth Proportional to 438,153.30, 656,711.55 and 185,433.30

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Solution

The fourth proportional to 438,153.30, 656,711.55 and 185,433.30 is: 277,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,153.30 : 656,711.55 = 185,433.30 : x
  2. Step 2: Convert to fraction form
    438,153.30/656,711.55 = 185,433.30/x
  3. Step 3: Cross multiply
    438,153.30x = 656,711.55 × 185,433.30
  4. Step 4: Simplify right side
    438,153.30x = 121,776,189,864.62
  5. Step 5: Solve for x
    x = 121,776,189,864.62/438,153.30
  6. Step 6: Final answer
    x = 277,930.56

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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.