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Finding the Fourth Proportional to 278,449.76, 384,250.92 and 151,122.80

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Solution

The fourth proportional to 278,449.76, 384,250.92 and 151,122.80 is: 208,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,449.76 : 384,250.92 = 151,122.80 : x
  2. Step 2: Convert to fraction form
    278,449.76/384,250.92 = 151,122.80/x
  3. Step 3: Cross multiply
    278,449.76x = 384,250.92 × 151,122.80
  4. Step 4: Simplify right side
    278,449.76x = 58,069,074,932.98
  5. Step 5: Solve for x
    x = 58,069,074,932.98/278,449.76
  6. Step 6: Final answer
    x = 208,544.17

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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.