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Finding the Fourth Proportional to 278,890.97, 384,861.58 and 158,071.37

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Solution

The fourth proportional to 278,890.97, 384,861.58 and 158,071.37 is: 218,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,890.97 : 384,861.58 = 158,071.37 : x
  2. Step 2: Convert to fraction form
    278,890.97/384,861.58 = 158,071.37/x
  3. Step 3: Cross multiply
    278,890.97x = 384,861.58 × 158,071.37
  4. Step 4: Simplify right side
    278,890.97x = 60,835,594,891.48
  5. Step 5: Solve for x
    x = 60,835,594,891.48/278,890.97
  6. Step 6: Final answer
    x = 218,133.98

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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.