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Finding the Fourth Proportional to 361,278.90, 542,225.55 and 161,906.10

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Solution

The fourth proportional to 361,278.90, 542,225.55 and 161,906.10 is: 242,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,278.90 : 542,225.55 = 161,906.10 : x
  2. Step 2: Convert to fraction form
    361,278.90/542,225.55 = 161,906.10/x
  3. Step 3: Cross multiply
    361,278.90x = 542,225.55 × 161,906.10
  4. Step 4: Simplify right side
    361,278.90x = 87,789,624,120.86
  5. Step 5: Solve for x
    x = 87,789,624,120.86/361,278.90
  6. Step 6: Final answer
    x = 242,996.82

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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.