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Finding the Fourth Proportional to 406,656.61, 561,186.11 and 225,395.78

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Solution

The fourth proportional to 406,656.61, 561,186.11 and 225,395.78 is: 311,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,656.61 : 561,186.11 = 225,395.78 : x
  2. Step 2: Convert to fraction form
    406,656.61/561,186.11 = 225,395.78/x
  3. Step 3: Cross multiply
    406,656.61x = 561,186.11 × 225,395.78
  4. Step 4: Simplify right side
    406,656.61x = 126,488,979,861.64
  5. Step 5: Solve for x
    x = 126,488,979,861.64/406,656.61
  6. Step 6: Final answer
    x = 311,046.17

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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.