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Finding the Fourth Proportional to 278,476.70, 384,265.86 and 155,951.97

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Solution

The fourth proportional to 278,476.70, 384,265.86 and 155,951.97 is: 215,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,476.70 : 384,265.86 = 155,951.97 : x
  2. Step 2: Convert to fraction form
    278,476.70/384,265.86 = 155,951.97/x
  3. Step 3: Cross multiply
    278,476.70x = 384,265.86 × 155,951.97
  4. Step 4: Simplify right side
    278,476.70x = 59,927,017,870.74
  5. Step 5: Solve for x
    x = 59,927,017,870.74/278,476.70
  6. Step 6: Final answer
    x = 215,195.81

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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.