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Finding the Fourth Proportional to 283,391.40, 391,067.50 and 162,445.96

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Solution

The fourth proportional to 283,391.40, 391,067.50 and 162,445.96 is: 224,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,391.40 : 391,067.50 = 162,445.96 : x
  2. Step 2: Convert to fraction form
    283,391.40/391,067.50 = 162,445.96/x
  3. Step 3: Cross multiply
    283,391.40x = 391,067.50 × 162,445.96
  4. Step 4: Simplify right side
    283,391.40x = 63,527,335,462.30
  5. Step 5: Solve for x
    x = 63,527,335,462.30/283,391.40
  6. Step 6: Final answer
    x = 224,168.18

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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.