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Finding the Fourth Proportional to 512,794.31, 769,192.02 and 133,714.71

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Solution

The fourth proportional to 512,794.31, 769,192.02 and 133,714.71 is: 200,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,794.31 : 769,192.02 = 133,714.71 : x
  2. Step 2: Convert to fraction form
    512,794.31/769,192.02 = 133,714.71/x
  3. Step 3: Cross multiply
    512,794.31x = 769,192.02 × 133,714.71
  4. Step 4: Simplify right side
    512,794.31x = 102,852,287,888.61
  5. Step 5: Solve for x
    x = 102,852,287,888.61/512,794.31
  6. Step 6: Final answer
    x = 200,572.21

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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.