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Finding the Fourth Proportional to 980,689.60, 1,471,005.12 and 270,760.96

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Solution

The fourth proportional to 980,689.60, 1,471,005.12 and 270,760.96 is: 406,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,689.60 : 1,471,005.12 = 270,760.96 : x
  2. Step 2: Convert to fraction form
    980,689.60/1,471,005.12 = 270,760.96/x
  3. Step 3: Cross multiply
    980,689.60x = 1,471,005.12 × 270,760.96
  4. Step 4: Simplify right side
    980,689.60x = 398,290,758,456.12
  5. Step 5: Solve for x
    x = 398,290,758,456.12/980,689.60
  6. Step 6: Final answer
    x = 406,133.36

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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.