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Finding the Fourth Proportional to 387,932.94, 582,167 and 135,215.55

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Solution

The fourth proportional to 387,932.94, 582,167 and 135,215.55 is: 202,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,932.94 : 582,167 = 135,215.55 : x
  2. Step 2: Convert to fraction form
    387,932.94/582,167 = 135,215.55/x
  3. Step 3: Cross multiply
    387,932.94x = 582,167 × 135,215.55
  4. Step 4: Simplify right side
    387,932.94x = 78,718,031,096.85
  5. Step 5: Solve for x
    x = 78,718,031,096.85/387,932.94
  6. Step 6: Final answer
    x = 202,916.59

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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.