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Finding the Fourth Proportional to 512,982.50, 707,918.07 and 280,414.18

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Solution

The fourth proportional to 512,982.50, 707,918.07 and 280,414.18 is: 386,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,982.50 : 707,918.07 = 280,414.18 : x
  2. Step 2: Convert to fraction form
    512,982.50/707,918.07 = 280,414.18/x
  3. Step 3: Cross multiply
    512,982.50x = 707,918.07 × 280,414.18
  4. Step 4: Simplify right side
    512,982.50x = 198,510,267,042.68
  5. Step 5: Solve for x
    x = 198,510,267,042.68/512,982.50
  6. Step 6: Final answer
    x = 386,972.79

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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.