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Finding the Fourth Proportional to 512,425.49, 769,104.66 and 272,740.61

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Solution

The fourth proportional to 512,425.49, 769,104.66 and 272,740.61 is: 409,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,425.49 : 769,104.66 = 272,740.61 : x
  2. Step 2: Convert to fraction form
    512,425.49/769,104.66 = 272,740.61/x
  3. Step 3: Cross multiply
    512,425.49x = 769,104.66 × 272,740.61
  4. Step 4: Simplify right side
    512,425.49x = 209,766,070,276.72
  5. Step 5: Solve for x
    x = 209,766,070,276.72/512,425.49
  6. Step 6: Final answer
    x = 409,359.17

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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.