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Finding the Fourth Proportional to 543,149.40, 814,821.30 and 227,638.20

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Solution

The fourth proportional to 543,149.40, 814,821.30 and 227,638.20 is: 341,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,149.40 : 814,821.30 = 227,638.20 : x
  2. Step 2: Convert to fraction form
    543,149.40/814,821.30 = 227,638.20/x
  3. Step 3: Cross multiply
    543,149.40x = 814,821.30 × 227,638.20
  4. Step 4: Simplify right side
    543,149.40x = 185,484,454,053.66
  5. Step 5: Solve for x
    x = 185,484,454,053.66/543,149.40
  6. Step 6: Final answer
    x = 341,498.04

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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.