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Finding the Fourth Proportional to 416,188.38, 574,341 and 225,203.76

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Solution

The fourth proportional to 416,188.38, 574,341 and 225,203.76 is: 310,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,188.38 : 574,341 = 225,203.76 : x
  2. Step 2: Convert to fraction form
    416,188.38/574,341 = 225,203.76/x
  3. Step 3: Cross multiply
    416,188.38x = 574,341 × 225,203.76
  4. Step 4: Simplify right side
    416,188.38x = 129,343,752,722.16
  5. Step 5: Solve for x
    x = 129,343,752,722.16/416,188.38
  6. Step 6: Final answer
    x = 310,781.75

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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.