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Finding the Fourth Proportional to 406,013.72, 608,909.00 and 225,877.14

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Solution

The fourth proportional to 406,013.72, 608,909.00 and 225,877.14 is: 338,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,013.72 : 608,909.00 = 225,877.14 : x
  2. Step 2: Convert to fraction form
    406,013.72/608,909.00 = 225,877.14/x
  3. Step 3: Cross multiply
    406,013.72x = 608,909.00 × 225,877.14
  4. Step 4: Simplify right side
    406,013.72x = 137,538,622,310.87
  5. Step 5: Solve for x
    x = 137,538,622,310.87/406,013.72
  6. Step 6: Final answer
    x = 338,753.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.