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Finding the Fourth Proportional to 283,441.97, 391,149.90 and 156,117.56

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Solution

The fourth proportional to 283,441.97, 391,149.90 and 156,117.56 is: 215,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,441.97 : 391,149.90 = 156,117.56 : x
  2. Step 2: Convert to fraction form
    283,441.97/391,149.90 = 156,117.56/x
  3. Step 3: Cross multiply
    283,441.97x = 391,149.90 × 156,117.56
  4. Step 4: Simplify right side
    283,441.97x = 61,065,367,982.24
  5. Step 5: Solve for x
    x = 61,065,367,982.24/283,441.97
  6. Step 6: Final answer
    x = 215,442.22

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1.5x scale

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.