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Finding the Fourth Proportional to 512,331.78, 707,366.61 and 331,481.46

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Solution

The fourth proportional to 512,331.78, 707,366.61 and 331,481.46 is: 457,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,331.78 : 707,366.61 = 331,481.46 : x
  2. Step 2: Convert to fraction form
    512,331.78/707,366.61 = 331,481.46/x
  3. Step 3: Cross multiply
    512,331.78x = 707,366.61 × 331,481.46
  4. Step 4: Simplify right side
    512,331.78x = 234,478,916,638.05
  5. Step 5: Solve for x
    x = 234,478,916,638.05/512,331.78
  6. Step 6: Final answer
    x = 457,670.06

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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.