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Finding the Fourth Proportional to 361,279.90, 542,227.05 and 161,907.10

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Solution

The fourth proportional to 361,279.90, 542,227.05 and 161,907.10 is: 242,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,279.90 : 542,227.05 = 161,907.10 : x
  2. Step 2: Convert to fraction form
    361,279.90/542,227.05 = 161,907.10/x
  3. Step 3: Cross multiply
    361,279.90x = 542,227.05 × 161,907.10
  4. Step 4: Simplify right side
    361,279.90x = 87,790,409,207.06
  5. Step 5: Solve for x
    x = 87,790,409,207.06/361,279.90
  6. Step 6: Final answer
    x = 242,998.32

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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.