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Finding the Fourth Proportional to 542,846.90, 814,926.45 and 538,910.30

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Solution

The fourth proportional to 542,846.90, 814,926.45 and 538,910.30 is: 809,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,846.90 : 814,926.45 = 538,910.30 : x
  2. Step 2: Convert to fraction form
    542,846.90/814,926.45 = 538,910.30/x
  3. Step 3: Cross multiply
    542,846.90x = 814,926.45 × 538,910.30
  4. Step 4: Simplify right side
    542,846.90x = 439,172,257,647.44
  5. Step 5: Solve for x
    x = 439,172,257,647.44/542,846.90
  6. Step 6: Final answer
    x = 809,016.79

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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.