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Finding the Fourth Proportional to 283,350, 391,013.82 and 156,022.32

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Solution

The fourth proportional to 283,350, 391,013.82 and 156,022.32 is: 215,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,350 : 391,013.82 = 156,022.32 : x
  2. Step 2: Convert to fraction form
    283,350/391,013.82 = 156,022.32/x
  3. Step 3: Cross multiply
    283,350x = 391,013.82 × 156,022.32
  4. Step 4: Simplify right side
    283,350x = 61,006,883,348.46
  5. Step 5: Solve for x
    x = 61,006,883,348.46/283,350
  6. Step 6: Final answer
    x = 215,305.75

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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.