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Finding the Fourth Proportional to 386,679.84, 580,231.20 and 150,031.88

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Solution

The fourth proportional to 386,679.84, 580,231.20 and 150,031.88 is: 225,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,679.84 : 580,231.20 = 150,031.88 : x
  2. Step 2: Convert to fraction form
    386,679.84/580,231.20 = 150,031.88/x
  3. Step 3: Cross multiply
    386,679.84x = 580,231.20 × 150,031.88
  4. Step 4: Simplify right side
    386,679.84x = 87,053,177,770.66
  5. Step 5: Solve for x
    x = 87,053,177,770.66/386,679.84
  6. Step 6: Final answer
    x = 225,129.86

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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.