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Finding the Fourth Proportional to 512,876.80, 768,278.40 and 344,915.20

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Solution

The fourth proportional to 512,876.80, 768,278.40 and 344,915.20 is: 516,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,876.80 : 768,278.40 = 344,915.20 : x
  2. Step 2: Convert to fraction form
    512,876.80/768,278.40 = 344,915.20/x
  3. Step 3: Cross multiply
    512,876.80x = 768,278.40 × 344,915.20
  4. Step 4: Simplify right side
    512,876.80x = 264,990,897,991.68
  5. Step 5: Solve for x
    x = 264,990,897,991.68/512,876.80
  6. Step 6: Final answer
    x = 516,675.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.