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Finding the Fourth Proportional to 299,336.38, 413,155.02 and 172,085.92

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Solution

The fourth proportional to 299,336.38, 413,155.02 and 172,085.92 is: 237,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,336.38 : 413,155.02 = 172,085.92 : x
  2. Step 2: Convert to fraction form
    299,336.38/413,155.02 = 172,085.92/x
  3. Step 3: Cross multiply
    299,336.38x = 413,155.02 × 172,085.92
  4. Step 4: Simplify right side
    299,336.38x = 71,098,161,719.32
  5. Step 5: Solve for x
    x = 71,098,161,719.32/299,336.38
  6. Step 6: Final answer
    x = 237,519.28

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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.