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Finding the Fourth Proportional to 416,410.28, 574,641.42 and 225,419.48

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Solution

The fourth proportional to 416,410.28, 574,641.42 and 225,419.48 is: 311,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.28 : 574,641.42 = 225,419.48 : x
  2. Step 2: Convert to fraction form
    416,410.28/574,641.42 = 225,419.48/x
  3. Step 3: Cross multiply
    416,410.28x = 574,641.42 × 225,419.48
  4. Step 4: Simplify right side
    416,410.28x = 129,535,370,082.86
  5. Step 5: Solve for x
    x = 129,535,370,082.86/416,410.28
  6. Step 6: Final answer
    x = 311,076.30

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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.