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Finding the Fourth Proportional to 283,559.76, 391,303.24 and 156,234.96

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Solution

The fourth proportional to 283,559.76, 391,303.24 and 156,234.96 is: 215,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,559.76 : 391,303.24 = 156,234.96 : x
  2. Step 2: Convert to fraction form
    283,559.76/391,303.24 = 156,234.96/x
  3. Step 3: Cross multiply
    283,559.76x = 391,303.24 × 156,234.96
  4. Step 4: Simplify right side
    283,559.76x = 61,135,246,049.27
  5. Step 5: Solve for x
    x = 61,135,246,049.27/283,559.76
  6. Step 6: Final answer
    x = 215,599.16

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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.