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Finding the Fourth Proportional to 406,379.57, 560,800.58 and 225,102.78

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Solution

The fourth proportional to 406,379.57, 560,800.58 and 225,102.78 is: 310,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,379.57 : 560,800.58 = 225,102.78 : x
  2. Step 2: Convert to fraction form
    406,379.57/560,800.58 = 225,102.78/x
  3. Step 3: Cross multiply
    406,379.57x = 560,800.58 × 225,102.78
  4. Step 4: Simplify right side
    406,379.57x = 126,237,768,458.10
  5. Step 5: Solve for x
    x = 126,237,768,458.10/406,379.57
  6. Step 6: Final answer
    x = 310,640.05

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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.