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Finding the Fourth Proportional to 408,672.66, 613,012.41 and 142,432.74

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Solution

The fourth proportional to 408,672.66, 613,012.41 and 142,432.74 is: 213,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.66 : 613,012.41 = 142,432.74 : x
  2. Step 2: Convert to fraction form
    408,672.66/613,012.41 = 142,432.74/x
  3. Step 3: Cross multiply
    408,672.66x = 613,012.41 × 142,432.74
  4. Step 4: Simplify right side
    408,672.66x = 87,313,037,210.30
  5. Step 5: Solve for x
    x = 87,313,037,210.30/408,672.66
  6. Step 6: Final answer
    x = 213,650.30

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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.