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Finding the Fourth Proportional to 322,979.60, 484,757.40 and 189,693.20

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Solution

The fourth proportional to 322,979.60, 484,757.40 and 189,693.20 is: 284,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,979.60 : 484,757.40 = 189,693.20 : x
  2. Step 2: Convert to fraction form
    322,979.60/484,757.40 = 189,693.20/x
  3. Step 3: Cross multiply
    322,979.60x = 484,757.40 × 189,693.20
  4. Step 4: Simplify right side
    322,979.60x = 91,955,182,429.68
  5. Step 5: Solve for x
    x = 91,955,182,429.68/322,979.60
  6. Step 6: Final answer
    x = 284,708.95

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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.