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Finding the Fourth Proportional to 472,391.74, 708,374.31 and 135,355.20

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Solution

The fourth proportional to 472,391.74, 708,374.31 and 135,355.20 is: 202,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,391.74 : 708,374.31 = 135,355.20 : x
  2. Step 2: Convert to fraction form
    472,391.74/708,374.31 = 135,355.20/x
  3. Step 3: Cross multiply
    472,391.74x = 708,374.31 × 135,355.20
  4. Step 4: Simplify right side
    472,391.74x = 95,882,146,404.91
  5. Step 5: Solve for x
    x = 95,882,146,404.91/472,391.74
  6. Step 6: Final answer
    x = 202,971.68

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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.