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Finding the Fourth Proportional to 407,042.66, 561,753.27 and 225,812.92

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Solution

The fourth proportional to 407,042.66, 561,753.27 and 225,812.92 is: 311,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,042.66 : 561,753.27 = 225,812.92 : x
  2. Step 2: Convert to fraction form
    407,042.66/561,753.27 = 225,812.92/x
  3. Step 3: Cross multiply
    407,042.66x = 561,753.27 × 225,812.92
  4. Step 4: Simplify right side
    407,042.66x = 126,851,146,218.25
  5. Step 5: Solve for x
    x = 126,851,146,218.25/407,042.66
  6. Step 6: Final answer
    x = 311,640.91

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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.