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Finding the Fourth Proportional to 406,471.80, 560,898.15 and 225,191.37

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Solution

The fourth proportional to 406,471.80, 560,898.15 and 225,191.37 is: 310,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,471.80 : 560,898.15 = 225,191.37 : x
  2. Step 2: Convert to fraction form
    406,471.80/560,898.15 = 225,191.37/x
  3. Step 3: Cross multiply
    406,471.80x = 560,898.15 × 225,191.37
  4. Step 4: Simplify right side
    406,471.80x = 126,309,422,828.97
  5. Step 5: Solve for x
    x = 126,309,422,828.97/406,471.80
  6. Step 6: Final answer
    x = 310,745.84

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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.