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Finding the Fourth Proportional to 416,431.76, 574,680.40 and 225,449.20

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Solution

The fourth proportional to 416,431.76, 574,680.40 and 225,449.20 is: 311,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,431.76 : 574,680.40 = 225,449.20 : x
  2. Step 2: Convert to fraction form
    416,431.76/574,680.40 = 225,449.20/x
  3. Step 3: Cross multiply
    416,431.76x = 574,680.40 × 225,449.20
  4. Step 4: Simplify right side
    416,431.76x = 129,561,236,435.68
  5. Step 5: Solve for x
    x = 129,561,236,435.68/416,431.76
  6. Step 6: Final answer
    x = 311,122.37

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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.