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Finding the Fourth Proportional to 283,978.71, 391,891.91 and 156,654.27

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Solution

The fourth proportional to 283,978.71, 391,891.91 and 156,654.27 is: 216,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,978.71 : 391,891.91 = 156,654.27 : x
  2. Step 2: Convert to fraction form
    283,978.71/391,891.91 = 156,654.27/x
  3. Step 3: Cross multiply
    283,978.71x = 391,891.91 × 156,654.27
  4. Step 4: Simplify right side
    283,978.71x = 61,391,540,296.68
  5. Step 5: Solve for x
    x = 61,391,540,296.68/283,978.71
  6. Step 6: Final answer
    x = 216,183.60

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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.