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Finding the Fourth Proportional to 416,400.90, 574,635.08 and 225,414.29

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Solution

The fourth proportional to 416,400.90, 574,635.08 and 225,414.29 is: 311,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,400.90 : 574,635.08 = 225,414.29 : x
  2. Step 2: Convert to fraction form
    416,400.90/574,635.08 = 225,414.29/x
  3. Step 3: Cross multiply
    416,400.90x = 574,635.08 × 225,414.29
  4. Step 4: Simplify right side
    416,400.90x = 129,530,959,299.46
  5. Step 5: Solve for x
    x = 129,530,959,299.46/416,400.90
  6. Step 6: Final answer
    x = 311,072.72

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1.5x scale

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.