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Finding the Fourth Proportional to 512,735.34, 707,589.04 and 283,307.41

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Solution

The fourth proportional to 512,735.34, 707,589.04 and 283,307.41 is: 390,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,735.34 : 707,589.04 = 283,307.41 : x
  2. Step 2: Convert to fraction form
    512,735.34/707,589.04 = 283,307.41/x
  3. Step 3: Cross multiply
    512,735.34x = 707,589.04 × 283,307.41
  4. Step 4: Simplify right side
    512,735.34x = 200,465,216,850.25
  5. Step 5: Solve for x
    x = 200,465,216,850.25/512,735.34
  6. Step 6: Final answer
    x = 390,972.11

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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.