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Finding the Fourth Proportional to 442,637.20, 663,163.80 and 269,213.20

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Solution

The fourth proportional to 442,637.20, 663,163.80 and 269,213.20 is: 403,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,637.20 : 663,163.80 = 269,213.20 : x
  2. Step 2: Convert to fraction form
    442,637.20/663,163.80 = 269,213.20/x
  3. Step 3: Cross multiply
    442,637.20x = 663,163.80 × 269,213.20
  4. Step 4: Simplify right side
    442,637.20x = 178,532,448,722.16
  5. Step 5: Solve for x
    x = 178,532,448,722.16/442,637.20
  6. Step 6: Final answer
    x = 403,338.10

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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.