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Finding the Fourth Proportional to 416,410.80, 574,640.10 and 225,422.52

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Solution

The fourth proportional to 416,410.80, 574,640.10 and 225,422.52 is: 311,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.80 : 574,640.10 = 225,422.52 : x
  2. Step 2: Convert to fraction form
    416,410.80/574,640.10 = 225,422.52/x
  3. Step 3: Cross multiply
    416,410.80x = 574,640.10 × 225,422.52
  4. Step 4: Simplify right side
    416,410.80x = 129,536,819,435.05
  5. Step 5: Solve for x
    x = 129,536,819,435.05/416,410.80
  6. Step 6: Final answer
    x = 311,079.39

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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.