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Finding the Fourth Proportional to 406,524, 561,003.12 and 227,676

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Solution

The fourth proportional to 406,524, 561,003.12 and 227,676 is: 314,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,524 : 561,003.12 = 227,676 : x
  2. Step 2: Convert to fraction form
    406,524/561,003.12 = 227,676/x
  3. Step 3: Cross multiply
    406,524x = 561,003.12 × 227,676
  4. Step 4: Simplify right side
    406,524x = 127,726,946,349.12
  5. Step 5: Solve for x
    x = 127,726,946,349.12/406,524
  6. Step 6: Final answer
    x = 314,192.88

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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.