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Finding the Fourth Proportional to 278,864.32, 418,111.56 and 101,350.24

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Solution

The fourth proportional to 278,864.32, 418,111.56 and 101,350.24 is: 151,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,864.32 : 418,111.56 = 101,350.24 : x
  2. Step 2: Convert to fraction form
    278,864.32/418,111.56 = 101,350.24/x
  3. Step 3: Cross multiply
    278,864.32x = 418,111.56 × 101,350.24
  4. Step 4: Simplify right side
    278,864.32x = 42,375,706,952.77
  5. Step 5: Solve for x
    x = 42,375,706,952.77/278,864.32
  6. Step 6: Final answer
    x = 151,958.15

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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.