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Finding the Fourth Proportional to 283,921.28, 391,797.24 and 156,589.28

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Solution

The fourth proportional to 283,921.28, 391,797.24 and 156,589.28 is: 216,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,921.28 : 391,797.24 = 156,589.28 : x
  2. Step 2: Convert to fraction form
    283,921.28/391,797.24 = 156,589.28/x
  3. Step 3: Cross multiply
    283,921.28x = 391,797.24 × 156,589.28
  4. Step 4: Simplify right side
    283,921.28x = 61,351,247,717.59
  5. Step 5: Solve for x
    x = 61,351,247,717.59/283,921.28
  6. Step 6: Final answer
    x = 216,085.42

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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.