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Finding the Fourth Proportional to 315,876.76, 435,908.90 and 172,636.78

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Solution

The fourth proportional to 315,876.76, 435,908.90 and 172,636.78 is: 238,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,876.76 : 435,908.90 = 172,636.78 : x
  2. Step 2: Convert to fraction form
    315,876.76/435,908.90 = 172,636.78/x
  3. Step 3: Cross multiply
    315,876.76x = 435,908.90 × 172,636.78
  4. Step 4: Simplify right side
    315,876.76x = 75,253,908,869.34
  5. Step 5: Solve for x
    x = 75,253,908,869.34/315,876.76
  6. Step 6: Final answer
    x = 238,238.19

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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.