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Finding the Fourth Proportional to 283,712.88, 391,523.84 and 156,391.28

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Solution

The fourth proportional to 283,712.88, 391,523.84 and 156,391.28 is: 215,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,712.88 : 391,523.84 = 156,391.28 : x
  2. Step 2: Convert to fraction form
    283,712.88/391,523.84 = 156,391.28/x
  3. Step 3: Cross multiply
    283,712.88x = 391,523.84 × 156,391.28
  4. Step 4: Simplify right side
    283,712.88x = 61,230,914,488.12
  5. Step 5: Solve for x
    x = 61,230,914,488.12/283,712.88
  6. Step 6: Final answer
    x = 215,820.00

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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.