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Finding the Fourth Proportional to 283,713.08, 391,523.94 and 156,390.80

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Solution

The fourth proportional to 283,713.08, 391,523.94 and 156,390.80 is: 215,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,713.08 : 391,523.94 = 156,390.80 : x
  2. Step 2: Convert to fraction form
    283,713.08/391,523.94 = 156,390.80/x
  3. Step 3: Cross multiply
    283,713.08x = 391,523.94 × 156,390.80
  4. Step 4: Simplify right side
    283,713.08x = 61,230,742,195.75
  5. Step 5: Solve for x
    x = 61,230,742,195.75/283,713.08
  6. Step 6: Final answer
    x = 215,819.24

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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.