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Finding the Fourth Proportional to 512,841.80, 769,262.70 and 138,864.20

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Solution

The fourth proportional to 512,841.80, 769,262.70 and 138,864.20 is: 208,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,841.80 : 769,262.70 = 138,864.20 : x
  2. Step 2: Convert to fraction form
    512,841.80/769,262.70 = 138,864.20/x
  3. Step 3: Cross multiply
    512,841.80x = 769,262.70 × 138,864.20
  4. Step 4: Simplify right side
    512,841.80x = 106,823,049,425.34
  5. Step 5: Solve for x
    x = 106,823,049,425.34/512,841.80
  6. Step 6: Final answer
    x = 208,296.30

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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.