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Finding the Fourth Proportional to 471,101.80, 649,891.56 and 279,979.96

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Solution

The fourth proportional to 471,101.80, 649,891.56 and 279,979.96 is: 386,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,101.80 : 649,891.56 = 279,979.96 : x
  2. Step 2: Convert to fraction form
    471,101.80/649,891.56 = 279,979.96/x
  3. Step 3: Cross multiply
    471,101.80x = 649,891.56 × 279,979.96
  4. Step 4: Simplify right side
    471,101.80x = 181,956,612,973.14
  5. Step 5: Solve for x
    x = 181,956,612,973.14/471,101.80
  6. Step 6: Final answer
    x = 386,236.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.