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Finding the Fourth Proportional to 283,695, 391,501.72 and 156,375.15

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Solution

The fourth proportional to 283,695, 391,501.72 and 156,375.15 is: 215,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,695 : 391,501.72 = 156,375.15 : x
  2. Step 2: Convert to fraction form
    283,695/391,501.72 = 156,375.15/x
  3. Step 3: Cross multiply
    283,695x = 391,501.72 × 156,375.15
  4. Step 4: Simplify right side
    283,695x = 61,221,140,190.26
  5. Step 5: Solve for x
    x = 61,221,140,190.26/283,695
  6. Step 6: Final answer
    x = 215,799.15

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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.