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Finding the Fourth Proportional to 367,409.76, 551,149.50 and 142,787.55

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Solution

The fourth proportional to 367,409.76, 551,149.50 and 142,787.55 is: 214,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,409.76 : 551,149.50 = 142,787.55 : x
  2. Step 2: Convert to fraction form
    367,409.76/551,149.50 = 142,787.55/x
  3. Step 3: Cross multiply
    367,409.76x = 551,149.50 × 142,787.55
  4. Step 4: Simplify right side
    367,409.76x = 78,697,286,788.73
  5. Step 5: Solve for x
    x = 78,697,286,788.73/367,409.76
  6. Step 6: Final answer
    x = 214,194.87

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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.