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Finding the Fourth Proportional to 283,342, 391,002.78 and 156,014.32

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Solution

The fourth proportional to 283,342, 391,002.78 and 156,014.32 is: 215,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,342 : 391,002.78 = 156,014.32 : x
  2. Step 2: Convert to fraction form
    283,342/391,002.78 = 156,014.32/x
  3. Step 3: Cross multiply
    283,342x = 391,002.78 × 156,014.32
  4. Step 4: Simplify right side
    283,342x = 61,002,032,839.81
  5. Step 5: Solve for x
    x = 61,002,032,839.81/283,342
  6. Step 6: Final answer
    x = 215,294.71

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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.