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Finding the Fourth Proportional to 315,519.82, 435,415.17 and 172,279.78

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Solution

The fourth proportional to 315,519.82, 435,415.17 and 172,279.78 is: 237,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,519.82 : 435,415.17 = 172,279.78 : x
  2. Step 2: Convert to fraction form
    315,519.82/435,415.17 = 172,279.78/x
  3. Step 3: Cross multiply
    315,519.82x = 435,415.17 × 172,279.78
  4. Step 4: Simplify right side
    315,519.82x = 75,013,229,696.26
  5. Step 5: Solve for x
    x = 75,013,229,696.26/315,519.82
  6. Step 6: Final answer
    x = 237,744.91

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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.