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Finding the Fourth Proportional to 327,641.50, 490,752.40 and 158,808.65

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Solution

The fourth proportional to 327,641.50, 490,752.40 and 158,808.65 is: 237,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,641.50 : 490,752.40 = 158,808.65 : x
  2. Step 2: Convert to fraction form
    327,641.50/490,752.40 = 158,808.65/x
  3. Step 3: Cross multiply
    327,641.50x = 490,752.40 × 158,808.65
  4. Step 4: Simplify right side
    327,641.50x = 77,935,725,217.05
  5. Step 5: Solve for x
    x = 77,935,725,217.05/327,641.50
  6. Step 6: Final answer
    x = 237,868.90

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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.