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Finding the Fourth Proportional to 472,154.85, 708,023.94 and 135,118.78

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Solution

The fourth proportional to 472,154.85, 708,023.94 and 135,118.78 is: 202,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,154.85 : 708,023.94 = 135,118.78 : x
  2. Step 2: Convert to fraction form
    472,154.85/708,023.94 = 135,118.78/x
  3. Step 3: Cross multiply
    472,154.85x = 708,023.94 × 135,118.78
  4. Step 4: Simplify right side
    472,154.85x = 95,667,332,689.47
  5. Step 5: Solve for x
    x = 95,667,332,689.47/472,154.85
  6. Step 6: Final answer
    x = 202,618.55

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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.