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Finding the Fourth Proportional to 198,471.28, 297,751.92 and 65,364.88

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Solution

The fourth proportional to 198,471.28, 297,751.92 and 65,364.88 is: 98,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,471.28 : 297,751.92 = 65,364.88 : x
  2. Step 2: Convert to fraction form
    198,471.28/297,751.92 = 65,364.88/x
  3. Step 3: Cross multiply
    198,471.28x = 297,751.92 × 65,364.88
  4. Step 4: Simplify right side
    198,471.28x = 19,462,518,520.57
  5. Step 5: Solve for x
    x = 19,462,518,520.57/198,471.28
  6. Step 6: Final answer
    x = 98,062.14

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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.