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Finding the Fourth Proportional to 325,815.88, 488,891.10 and 155,230.84

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Solution

The fourth proportional to 325,815.88, 488,891.10 and 155,230.84 is: 232,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,815.88 : 488,891.10 = 155,230.84 : x
  2. Step 2: Convert to fraction form
    325,815.88/488,891.10 = 155,230.84/x
  3. Step 3: Cross multiply
    325,815.88x = 488,891.10 × 155,230.84
  4. Step 4: Simplify right side
    325,815.88x = 75,890,976,121.52
  5. Step 5: Solve for x
    x = 75,890,976,121.52/325,815.88
  6. Step 6: Final answer
    x = 232,925.96

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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.