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Finding the Fourth Proportional to 542,819.80, 814,278.30 and 227,211.40

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Solution

The fourth proportional to 542,819.80, 814,278.30 and 227,211.40 is: 340,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,819.80 : 814,278.30 = 227,211.40 : x
  2. Step 2: Convert to fraction form
    542,819.80/814,278.30 = 227,211.40/x
  3. Step 3: Cross multiply
    542,819.80x = 814,278.30 × 227,211.40
  4. Step 4: Simplify right side
    542,819.80x = 185,013,312,532.62
  5. Step 5: Solve for x
    x = 185,013,312,532.62/542,819.80
  6. Step 6: Final answer
    x = 340,837.44

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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.