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Finding the Fourth Proportional to 280,463, 420,694.50 and 83,471

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Solution

The fourth proportional to 280,463, 420,694.50 and 83,471 is: 125,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463 : 420,694.50 = 83,471 : x
  2. Step 2: Convert to fraction form
    280,463/420,694.50 = 83,471/x
  3. Step 3: Cross multiply
    280,463x = 420,694.50 × 83,471
  4. Step 4: Simplify right side
    280,463x = 35,115,790,609.50
  5. Step 5: Solve for x
    x = 35,115,790,609.50/280,463
  6. Step 6: Final answer
    x = 125,206.50

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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.