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Finding the Fourth Proportional to 512,375.86, 707,090.61 and 321,397.30

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Solution

The fourth proportional to 512,375.86, 707,090.61 and 321,397.30 is: 443,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,375.86 : 707,090.61 = 321,397.30 : x
  2. Step 2: Convert to fraction form
    512,375.86/707,090.61 = 321,397.30/x
  3. Step 3: Cross multiply
    512,375.86x = 707,090.61 × 321,397.30
  4. Step 4: Simplify right side
    512,375.86x = 227,257,012,909.35
  5. Step 5: Solve for x
    x = 227,257,012,909.35/512,375.86
  6. Step 6: Final answer
    x = 443,535.75

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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.