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Finding the Fourth Proportional to 283,722.12, 391,531.68 and 156,409.56

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Solution

The fourth proportional to 283,722.12, 391,531.68 and 156,409.56 is: 215,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,722.12 : 391,531.68 = 156,409.56 : x
  2. Step 2: Convert to fraction form
    283,722.12/391,531.68 = 156,409.56/x
  3. Step 3: Cross multiply
    283,722.12x = 391,531.68 × 156,409.56
  4. Step 4: Simplify right side
    283,722.12x = 61,239,297,794.86
  5. Step 5: Solve for x
    x = 61,239,297,794.86/283,722.12
  6. Step 6: Final answer
    x = 215,842.52

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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.