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Finding the Fourth Proportional to 442,986.62, 611,324.03 and 252,000

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Solution

The fourth proportional to 442,986.62, 611,324.03 and 252,000 is: 347,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,986.62 : 611,324.03 = 252,000 : x
  2. Step 2: Convert to fraction form
    442,986.62/611,324.03 = 252,000/x
  3. Step 3: Cross multiply
    442,986.62x = 611,324.03 × 252,000
  4. Step 4: Simplify right side
    442,986.62x = 154,053,656,190
  5. Step 5: Solve for x
    x = 154,053,656,190/442,986.62
  6. Step 6: Final answer
    x = 347,761.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.