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Finding the Fourth Proportional to 361,671.62, 542,382.71 and 148,379.31

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Solution

The fourth proportional to 361,671.62, 542,382.71 and 148,379.31 is: 222,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,671.62 : 542,382.71 = 148,379.31 : x
  2. Step 2: Convert to fraction form
    361,671.62/542,382.71 = 148,379.31/x
  3. Step 3: Cross multiply
    361,671.62x = 542,382.71 × 148,379.31
  4. Step 4: Simplify right side
    361,671.62x = 80,478,371,523.83
  5. Step 5: Solve for x
    x = 80,478,371,523.83/361,671.62
  6. Step 6: Final answer
    x = 222,517.80

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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.