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Finding the Fourth Proportional to 315,687.70, 435,658.57 and 172,456.97

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Solution

The fourth proportional to 315,687.70, 435,658.57 and 172,456.97 is: 237,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,687.70 : 435,658.57 = 172,456.97 : x
  2. Step 2: Convert to fraction form
    315,687.70/435,658.57 = 172,456.97/x
  3. Step 3: Cross multiply
    315,687.70x = 435,658.57 × 172,456.97
  4. Step 4: Simplify right side
    315,687.70x = 75,132,357,594.74
  5. Step 5: Solve for x
    x = 75,132,357,594.74/315,687.70
  6. Step 6: Final answer
    x = 237,995.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.