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Finding the Fourth Proportional to 407,076.86, 561,743.17 and 225,775.78

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Solution

The fourth proportional to 407,076.86, 561,743.17 and 225,775.78 is: 311,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,076.86 : 561,743.17 = 225,775.78 : x
  2. Step 2: Convert to fraction form
    407,076.86/561,743.17 = 225,775.78/x
  3. Step 3: Cross multiply
    407,076.86x = 561,743.17 × 225,775.78
  4. Step 4: Simplify right side
    407,076.86x = 126,828,000,397.63
  5. Step 5: Solve for x
    x = 126,828,000,397.63/407,076.86
  6. Step 6: Final answer
    x = 311,557.87

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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.