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Finding the Fourth Proportional to 283,842.56, 391,701.44 and 156,520.24

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Solution

The fourth proportional to 283,842.56, 391,701.44 and 156,520.24 is: 215,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,842.56 : 391,701.44 = 156,520.24 : x
  2. Step 2: Convert to fraction form
    283,842.56/391,701.44 = 156,520.24/x
  3. Step 3: Cross multiply
    283,842.56x = 391,701.44 × 156,520.24
  4. Step 4: Simplify right side
    283,842.56x = 61,309,203,397.15
  5. Step 5: Solve for x
    x = 61,309,203,397.15/283,842.56
  6. Step 6: Final answer
    x = 215,997.22

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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.