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Finding the Fourth Proportional to 361,874.20, 542,811.30 and 268,562.20

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Solution

The fourth proportional to 361,874.20, 542,811.30 and 268,562.20 is: 402,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,874.20 : 542,811.30 = 268,562.20 : x
  2. Step 2: Convert to fraction form
    361,874.20/542,811.30 = 268,562.20/x
  3. Step 3: Cross multiply
    361,874.20x = 542,811.30 × 268,562.20
  4. Step 4: Simplify right side
    361,874.20x = 145,778,596,912.86
  5. Step 5: Solve for x
    x = 145,778,596,912.86/361,874.20
  6. Step 6: Final answer
    x = 402,843.30

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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.