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Finding the Fourth Proportional to 280,537.97, 420,861.85 and 103,046.36

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Solution

The fourth proportional to 280,537.97, 420,861.85 and 103,046.36 is: 154,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,537.97 : 420,861.85 = 103,046.36 : x
  2. Step 2: Convert to fraction form
    280,537.97/420,861.85 = 103,046.36/x
  3. Step 3: Cross multiply
    280,537.97x = 420,861.85 × 103,046.36
  4. Step 4: Simplify right side
    280,537.97x = 43,368,279,343.44
  5. Step 5: Solve for x
    x = 43,368,279,343.44/280,537.97
  6. Step 6: Final answer
    x = 154,589.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.