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Finding the Fourth Proportional to 280,463.25, 420,694.88 and 83,471.25

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Solution

The fourth proportional to 280,463.25, 420,694.88 and 83,471.25 is: 125,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,463.25 : 420,694.88 = 83,471.25 : x
  2. Step 2: Convert to fraction form
    280,463.25/420,694.88 = 83,471.25/x
  3. Step 3: Cross multiply
    280,463.25x = 420,694.88 × 83,471.25
  4. Step 4: Simplify right side
    280,463.25x = 35,115,927,502.20
  5. Step 5: Solve for x
    x = 35,115,927,502.20/280,463.25
  6. Step 6: Final answer
    x = 125,206.88

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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.