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Finding the Fourth Proportional to 278,283.84, 417,424.32 and 67,922.88

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Solution

The fourth proportional to 278,283.84, 417,424.32 and 67,922.88 is: 101,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,283.84 : 417,424.32 = 67,922.88 : x
  2. Step 2: Convert to fraction form
    278,283.84/417,424.32 = 67,922.88/x
  3. Step 3: Cross multiply
    278,283.84x = 417,424.32 × 67,922.88
  4. Step 4: Simplify right side
    278,283.84x = 28,352,661,996.44
  5. Step 5: Solve for x
    x = 28,352,661,996.44/278,283.84
  6. Step 6: Final answer
    x = 101,883.97

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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.