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Finding the Fourth Proportional to 406,434.82, 560,872.72 and 225,146.20

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Solution

The fourth proportional to 406,434.82, 560,872.72 and 225,146.20 is: 310,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,434.82 : 560,872.72 = 225,146.20 : x
  2. Step 2: Convert to fraction form
    406,434.82/560,872.72 = 225,146.20/x
  3. Step 3: Cross multiply
    406,434.82x = 560,872.72 × 225,146.20
  4. Step 4: Simplify right side
    406,434.82x = 126,278,361,591.66
  5. Step 5: Solve for x
    x = 126,278,361,591.66/406,434.82
  6. Step 6: Final answer
    x = 310,697.69

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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.