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Finding the Fourth Proportional to 315,747.62, 435,738 and 172,516.56

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Solution

The fourth proportional to 315,747.62, 435,738 and 172,516.56 is: 238,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,747.62 : 435,738 = 172,516.56 : x
  2. Step 2: Convert to fraction form
    315,747.62/435,738 = 172,516.56/x
  3. Step 3: Cross multiply
    315,747.62x = 435,738 × 172,516.56
  4. Step 4: Simplify right side
    315,747.62x = 75,172,020,821.28
  5. Step 5: Solve for x
    x = 75,172,020,821.28/315,747.62
  6. Step 6: Final answer
    x = 238,076.29

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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.