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Finding the Fourth Proportional to 379,156, 523,230.92 and 218,011.68

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Solution

The fourth proportional to 379,156, 523,230.92 and 218,011.68 is: 300,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,156 : 523,230.92 = 218,011.68 : x
  2. Step 2: Convert to fraction form
    379,156/523,230.92 = 218,011.68/x
  3. Step 3: Cross multiply
    379,156x = 523,230.92 × 218,011.68
  4. Step 4: Simplify right side
    379,156x = 114,070,451,897.15
  5. Step 5: Solve for x
    x = 114,070,451,897.15/379,156
  6. Step 6: Final answer
    x = 300,853.61

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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.