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Finding the Fourth Proportional to 285,720.90, 394,279.29 and 158,414.82

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Solution

The fourth proportional to 285,720.90, 394,279.29 and 158,414.82 is: 218,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,720.90 : 394,279.29 = 158,414.82 : x
  2. Step 2: Convert to fraction form
    285,720.90/394,279.29 = 158,414.82/x
  3. Step 3: Cross multiply
    285,720.90x = 394,279.29 × 158,414.82
  4. Step 4: Simplify right side
    285,720.90x = 62,459,682,755.08
  5. Step 5: Solve for x
    x = 62,459,682,755.08/285,720.90
  6. Step 6: Final answer
    x = 218,603.83

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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.