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Finding the Fourth Proportional to 406,728.52, 561,318.96 and 225,497.29

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Solution

The fourth proportional to 406,728.52, 561,318.96 and 225,497.29 is: 311,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,728.52 : 561,318.96 = 225,497.29 : x
  2. Step 2: Convert to fraction form
    406,728.52/561,318.96 = 225,497.29/x
  3. Step 3: Cross multiply
    406,728.52x = 561,318.96 × 225,497.29
  4. Step 4: Simplify right side
    406,728.52x = 126,575,904,305.62
  5. Step 5: Solve for x
    x = 126,575,904,305.62/406,728.52
  6. Step 6: Final answer
    x = 311,204.89

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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.