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Finding the Fourth Proportional to 278,559.27, 418,004.91 and 101,080.11

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Solution

The fourth proportional to 278,559.27, 418,004.91 and 101,080.11 is: 151,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,559.27 : 418,004.91 = 101,080.11 : x
  2. Step 2: Convert to fraction form
    278,559.27/418,004.91 = 101,080.11/x
  3. Step 3: Cross multiply
    278,559.27x = 418,004.91 × 101,080.11
  4. Step 4: Simplify right side
    278,559.27x = 42,251,982,283.34
  5. Step 5: Solve for x
    x = 42,251,982,283.34/278,559.27
  6. Step 6: Final answer
    x = 151,680.40

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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.