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Finding the Fourth Proportional to 283,384, 391,070.46 and 156,071.44

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Solution

The fourth proportional to 283,384, 391,070.46 and 156,071.44 is: 215,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,384 : 391,070.46 = 156,071.44 : x
  2. Step 2: Convert to fraction form
    283,384/391,070.46 = 156,071.44/x
  3. Step 3: Cross multiply
    283,384x = 391,070.46 × 156,071.44
  4. Step 4: Simplify right side
    283,384x = 61,034,929,833.66
  5. Step 5: Solve for x
    x = 61,034,929,833.66/283,384
  6. Step 6: Final answer
    x = 215,378.88

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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.