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Finding the Fourth Proportional to 275,176.20, 412,764.30 and 212,891.40

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Solution

The fourth proportional to 275,176.20, 412,764.30 and 212,891.40 is: 319,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,176.20 : 412,764.30 = 212,891.40 : x
  2. Step 2: Convert to fraction form
    275,176.20/412,764.30 = 212,891.40/x
  3. Step 3: Cross multiply
    275,176.20x = 412,764.30 × 212,891.40
  4. Step 4: Simplify right side
    275,176.20x = 87,873,969,697.02
  5. Step 5: Solve for x
    x = 87,873,969,697.02/275,176.20
  6. Step 6: Final answer
    x = 319,337.10

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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.