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Finding the Fourth Proportional to 278,869.54, 384,838.92 and 158,033.84

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Solution

The fourth proportional to 278,869.54, 384,838.92 and 158,033.84 is: 218,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,869.54 : 384,838.92 = 158,033.84 : x
  2. Step 2: Convert to fraction form
    278,869.54/384,838.92 = 158,033.84/x
  3. Step 3: Cross multiply
    278,869.54x = 384,838.92 × 158,033.84
  4. Step 4: Simplify right side
    278,869.54x = 60,817,572,309.05
  5. Step 5: Solve for x
    x = 60,817,572,309.05/278,869.54
  6. Step 6: Final answer
    x = 218,086.11

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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.