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Finding the Fourth Proportional to 280,290.36, 420,185.49 and 102,755.91

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Solution

The fourth proportional to 280,290.36, 420,185.49 and 102,755.91 is: 154,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290.36 : 420,185.49 = 102,755.91 : x
  2. Step 2: Convert to fraction form
    280,290.36/420,185.49 = 102,755.91/x
  3. Step 3: Cross multiply
    280,290.36x = 420,185.49 × 102,755.91
  4. Step 4: Simplify right side
    280,290.36x = 43,176,542,393.75
  5. Step 5: Solve for x
    x = 43,176,542,393.75/280,290.36
  6. Step 6: Final answer
    x = 154,042.20

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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.