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Finding the Fourth Proportional to 285,580.38, 394,091.01 and 158,267.82

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Solution

The fourth proportional to 285,580.38, 394,091.01 and 158,267.82 is: 218,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,580.38 : 394,091.01 = 158,267.82 : x
  2. Step 2: Convert to fraction form
    285,580.38/394,091.01 = 158,267.82/x
  3. Step 3: Cross multiply
    285,580.38x = 394,091.01 × 158,267.82
  4. Step 4: Simplify right side
    285,580.38x = 62,371,925,034.30
  5. Step 5: Solve for x
    x = 62,371,925,034.30/285,580.38
  6. Step 6: Final answer
    x = 218,404.10

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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.