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Finding the Fourth Proportional to 288,084.60, 431,759.70 and 161,724.60

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Solution

The fourth proportional to 288,084.60, 431,759.70 and 161,724.60 is: 242,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,084.60 : 431,759.70 = 161,724.60 : x
  2. Step 2: Convert to fraction form
    288,084.60/431,759.70 = 161,724.60/x
  3. Step 3: Cross multiply
    288,084.60x = 431,759.70 × 161,724.60
  4. Step 4: Simplify right side
    288,084.60x = 69,826,164,778.62
  5. Step 5: Solve for x
    x = 69,826,164,778.62/288,084.60
  6. Step 6: Final answer
    x = 242,380.76

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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.