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Finding the Fourth Proportional to 406,473.48, 560,910.96 and 225,171

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Solution

The fourth proportional to 406,473.48, 560,910.96 and 225,171 is: 310,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,473.48 : 560,910.96 = 225,171 : x
  2. Step 2: Convert to fraction form
    406,473.48/560,910.96 = 225,171/x
  3. Step 3: Cross multiply
    406,473.48x = 560,910.96 × 225,171
  4. Step 4: Simplify right side
    406,473.48x = 126,300,881,774.16
  5. Step 5: Solve for x
    x = 126,300,881,774.16/406,473.48
  6. Step 6: Final answer
    x = 310,723.55

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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.