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Finding the Fourth Proportional to 361,815.80, 542,723.70 and 151,431.80

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Solution

The fourth proportional to 361,815.80, 542,723.70 and 151,431.80 is: 227,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.80 : 542,723.70 = 151,431.80 : x
  2. Step 2: Convert to fraction form
    361,815.80/542,723.70 = 151,431.80/x
  3. Step 3: Cross multiply
    361,815.80x = 542,723.70 × 151,431.80
  4. Step 4: Simplify right side
    361,815.80x = 82,185,626,793.66
  5. Step 5: Solve for x
    x = 82,185,626,793.66/361,815.80
  6. Step 6: Final answer
    x = 227,147.70

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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.