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Finding the Fourth Proportional to 314,872.70, 472,001.85 and 281,695.10

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Solution

The fourth proportional to 314,872.70, 472,001.85 and 281,695.10 is: 422,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,872.70 : 472,001.85 = 281,695.10 : x
  2. Step 2: Convert to fraction form
    314,872.70/472,001.85 = 281,695.10/x
  3. Step 3: Cross multiply
    314,872.70x = 472,001.85 × 281,695.10
  4. Step 4: Simplify right side
    314,872.70x = 132,960,608,335.94
  5. Step 5: Solve for x
    x = 132,960,608,335.94/314,872.70
  6. Step 6: Final answer
    x = 422,267.82

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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.