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Finding the Fourth Proportional to 361,980.68, 542,879.92 and 148,808.04

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Solution

The fourth proportional to 361,980.68, 542,879.92 and 148,808.04 is: 223,174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,980.68 : 542,879.92 = 148,808.04 : x
  2. Step 2: Convert to fraction form
    361,980.68/542,879.92 = 148,808.04/x
  3. Step 3: Cross multiply
    361,980.68x = 542,879.92 × 148,808.04
  4. Step 4: Simplify right side
    361,980.68x = 80,784,895,000.77
  5. Step 5: Solve for x
    x = 80,784,895,000.77/361,980.68
  6. Step 6: Final answer
    x = 223,174.61

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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.