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Finding the Fourth Proportional to 283,674.47, 391,472.61 and 156,350.06

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Solution

The fourth proportional to 283,674.47, 391,472.61 and 156,350.06 is: 215,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,674.47 : 391,472.61 = 156,350.06 : x
  2. Step 2: Convert to fraction form
    283,674.47/391,472.61 = 156,350.06/x
  3. Step 3: Cross multiply
    283,674.47x = 391,472.61 × 156,350.06
  4. Step 4: Simplify right side
    283,674.47x = 61,206,764,104.49
  5. Step 5: Solve for x
    x = 61,206,764,104.49/283,674.47
  6. Step 6: Final answer
    x = 215,764.09

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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.