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Finding the Fourth Proportional to 406,490.38, 560,934.62 and 225,191.50

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Solution

The fourth proportional to 406,490.38, 560,934.62 and 225,191.50 is: 310,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,490.38 : 560,934.62 = 225,191.50 : x
  2. Step 2: Convert to fraction form
    406,490.38/560,934.62 = 225,191.50/x
  3. Step 3: Cross multiply
    406,490.38x = 560,934.62 × 225,191.50
  4. Step 4: Simplify right side
    406,490.38x = 126,317,708,062.61
  5. Step 5: Solve for x
    x = 126,317,708,062.61/406,490.38
  6. Step 6: Final answer
    x = 310,752.03

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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.