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Finding the Fourth Proportional to 278,753.45, 384,677.64 and 151,429.95

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Solution

The fourth proportional to 278,753.45, 384,677.64 and 151,429.95 is: 208,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,753.45 : 384,677.64 = 151,429.95 : x
  2. Step 2: Convert to fraction form
    278,753.45/384,677.64 = 151,429.95/x
  3. Step 3: Cross multiply
    278,753.45x = 384,677.64 × 151,429.95
  4. Step 4: Simplify right side
    278,753.45x = 58,251,715,791.32
  5. Step 5: Solve for x
    x = 58,251,715,791.32/278,753.45
  6. Step 6: Final answer
    x = 208,972.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.