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Finding the Fourth Proportional to 512,735.97, 707,589.90 and 283,308.03

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Solution

The fourth proportional to 512,735.97, 707,589.90 and 283,308.03 is: 390,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,735.97 : 707,589.90 = 283,308.03 : x
  2. Step 2: Convert to fraction form
    512,735.97/707,589.90 = 283,308.03/x
  3. Step 3: Cross multiply
    512,735.97x = 707,589.90 × 283,308.03
  4. Step 4: Simplify right side
    512,735.97x = 200,465,900,616.90
  5. Step 5: Solve for x
    x = 200,465,900,616.90/512,735.97
  6. Step 6: Final answer
    x = 390,972.96

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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.