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Finding the Fourth Proportional to 512,414.65, 768,640.20 and 157,428.10

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Solution

The fourth proportional to 512,414.65, 768,640.20 and 157,428.10 is: 236,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,414.65 : 768,640.20 = 157,428.10 : x
  2. Step 2: Convert to fraction form
    512,414.65/768,640.20 = 157,428.10/x
  3. Step 3: Cross multiply
    512,414.65x = 768,640.20 × 157,428.10
  4. Step 4: Simplify right side
    512,414.65x = 121,005,566,269.62
  5. Step 5: Solve for x
    x = 121,005,566,269.62/512,414.65
  6. Step 6: Final answer
    x = 236,147.75

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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.