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Finding the Fourth Proportional to 278,565.05, 418,013.56 and 101,085.88

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Solution

The fourth proportional to 278,565.05, 418,013.56 and 101,085.88 is: 151,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,565.05 : 418,013.56 = 101,085.88 : x
  2. Step 2: Convert to fraction form
    278,565.05/418,013.56 = 101,085.88/x
  3. Step 3: Cross multiply
    278,565.05x = 418,013.56 × 101,085.88
  4. Step 4: Simplify right side
    278,565.05x = 42,255,268,564.53
  5. Step 5: Solve for x
    x = 42,255,268,564.53/278,565.05
  6. Step 6: Final answer
    x = 151,689.05

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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.