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Finding the Fourth Proportional to 512,449.85, 707,181.99 and 283,002.95

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Solution

The fourth proportional to 512,449.85, 707,181.99 and 283,002.95 is: 390,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,449.85 : 707,181.99 = 283,002.95 : x
  2. Step 2: Convert to fraction form
    512,449.85/707,181.99 = 283,002.95/x
  3. Step 3: Cross multiply
    512,449.85x = 707,181.99 × 283,002.95
  4. Step 4: Simplify right side
    512,449.85x = 200,134,589,356.87
  5. Step 5: Solve for x
    x = 200,134,589,356.87/512,449.85
  6. Step 6: Final answer
    x = 390,544.73

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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.