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Finding the Fourth Proportional to 399,211.74, 550,781.37 and 284,508.45

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Solution

The fourth proportional to 399,211.74, 550,781.37 and 284,508.45 is: 392,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,211.74 : 550,781.37 = 284,508.45 : x
  2. Step 2: Convert to fraction form
    399,211.74/550,781.37 = 284,508.45/x
  3. Step 3: Cross multiply
    399,211.74x = 550,781.37 × 284,508.45
  4. Step 4: Simplify right side
    399,211.74x = 156,701,953,867.58
  5. Step 5: Solve for x
    x = 156,701,953,867.58/399,211.74
  6. Step 6: Final answer
    x = 392,528.42

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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.