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Finding the Fourth Proportional to 278,965.68, 418,451.44 and 110,527

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Solution

The fourth proportional to 278,965.68, 418,451.44 and 110,527 is: 165,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,965.68 : 418,451.44 = 110,527 : x
  2. Step 2: Convert to fraction form
    278,965.68/418,451.44 = 110,527/x
  3. Step 3: Cross multiply
    278,965.68x = 418,451.44 × 110,527
  4. Step 4: Simplify right side
    278,965.68x = 46,250,182,308.88
  5. Step 5: Solve for x
    x = 46,250,182,308.88/278,965.68
  6. Step 6: Final answer
    x = 165,791.66

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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.