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Finding the Fourth Proportional to 280,290.87, 420,186.24 and 102,756.42

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Solution

The fourth proportional to 280,290.87, 420,186.24 and 102,756.42 is: 154,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290.87 : 420,186.24 = 102,756.42 : x
  2. Step 2: Convert to fraction form
    280,290.87/420,186.24 = 102,756.42/x
  3. Step 3: Cross multiply
    280,290.87x = 420,186.24 × 102,756.42
  4. Step 4: Simplify right side
    280,290.87x = 43,176,833,755.66
  5. Step 5: Solve for x
    x = 43,176,833,755.66/280,290.87
  6. Step 6: Final answer
    x = 154,042.95

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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.