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Finding the Fourth Proportional to 406,474.48, 560,912.34 and 225,172

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Solution

The fourth proportional to 406,474.48, 560,912.34 and 225,172 is: 310,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,474.48 : 560,912.34 = 225,172 : x
  2. Step 2: Convert to fraction form
    406,474.48/560,912.34 = 225,172/x
  3. Step 3: Cross multiply
    406,474.48x = 560,912.34 × 225,172
  4. Step 4: Simplify right side
    406,474.48x = 126,301,753,422.48
  5. Step 5: Solve for x
    x = 126,301,753,422.48/406,474.48
  6. Step 6: Final answer
    x = 310,724.93

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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.