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Finding the Fourth Proportional to 278,863.32, 418,110.06 and 101,349.24

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Solution

The fourth proportional to 278,863.32, 418,110.06 and 101,349.24 is: 151,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,863.32 : 418,110.06 = 101,349.24 : x
  2. Step 2: Convert to fraction form
    278,863.32/418,110.06 = 101,349.24/x
  3. Step 3: Cross multiply
    278,863.32x = 418,110.06 × 101,349.24
  4. Step 4: Simplify right side
    278,863.32x = 42,375,136,817.35
  5. Step 5: Solve for x
    x = 42,375,136,817.35/278,863.32
  6. Step 6: Final answer
    x = 151,956.65

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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.