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Finding the Fourth Proportional to 512,714,425.80, 769,071,648.46 and 124,534,640.68

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Solution

The fourth proportional to 512,714,425.80, 769,071,648.46 and 124,534,640.68 is: 186,801,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,714,425.80 : 769,071,648.46 = 124,534,640.68 : x
  2. Step 2: Convert to fraction form
    512,714,425.80/769,071,648.46 = 124,534,640.68/x
  3. Step 3: Cross multiply
    512,714,425.80x = 769,071,648.46 × 124,534,640.68
  4. Step 4: Simplify right side
    512,714,425.80x = 95,776,061,398,141,392
  5. Step 5: Solve for x
    x = 95,776,061,398,141,392/512,714,425.80
  6. Step 6: Final answer
    x = 186,801,963.39

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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.