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Finding the Fourth Proportional to 457,441.10, 686,195.28 and 120,479.28

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Solution

The fourth proportional to 457,441.10, 686,195.28 and 120,479.28 is: 180,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,441.10 : 686,195.28 = 120,479.28 : x
  2. Step 2: Convert to fraction form
    457,441.10/686,195.28 = 120,479.28/x
  3. Step 3: Cross multiply
    457,441.10x = 686,195.28 × 120,479.28
  4. Step 4: Simplify right side
    457,441.10x = 82,672,313,273.80
  5. Step 5: Solve for x
    x = 82,672,313,273.80/457,441.10
  6. Step 6: Final answer
    x = 180,727.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.