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Finding the Fourth Proportional to 441,939.20, 663,004.80 and 161,456

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Solution

The fourth proportional to 441,939.20, 663,004.80 and 161,456 is: 242,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,939.20 : 663,004.80 = 161,456 : x
  2. Step 2: Convert to fraction form
    441,939.20/663,004.80 = 161,456/x
  3. Step 3: Cross multiply
    441,939.20x = 663,004.80 × 161,456
  4. Step 4: Simplify right side
    441,939.20x = 107,046,102,988.80
  5. Step 5: Solve for x
    x = 107,046,102,988.80/441,939.20
  6. Step 6: Final answer
    x = 242,219.07

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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.