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Finding the Fourth Proportional to 399,814.96, 551,691.39 and 256,768.78

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Solution

The fourth proportional to 399,814.96, 551,691.39 and 256,768.78 is: 354,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,814.96 : 551,691.39 = 256,768.78 : x
  2. Step 2: Convert to fraction form
    399,814.96/551,691.39 = 256,768.78/x
  3. Step 3: Cross multiply
    399,814.96x = 551,691.39 × 256,768.78
  4. Step 4: Simplify right side
    399,814.96x = 141,657,125,146.80
  5. Step 5: Solve for x
    x = 141,657,125,146.80/399,814.96
  6. Step 6: Final answer
    x = 354,306.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.