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Finding the Fourth Proportional to 385,418.38, 578,098.41 and 119,180.56

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Solution

The fourth proportional to 385,418.38, 578,098.41 and 119,180.56 is: 178,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,418.38 : 578,098.41 = 119,180.56 : x
  2. Step 2: Convert to fraction form
    385,418.38/578,098.41 = 119,180.56/x
  3. Step 3: Cross multiply
    385,418.38x = 578,098.41 × 119,180.56
  4. Step 4: Simplify right side
    385,418.38x = 68,898,092,238.91
  5. Step 5: Solve for x
    x = 68,898,092,238.91/385,418.38
  6. Step 6: Final answer
    x = 178,761.82

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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.