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Finding the Fourth Proportional to 542,354.54, 813,540.33 and 205,304.69

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Solution

The fourth proportional to 542,354.54, 813,540.33 and 205,304.69 is: 307,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,354.54 : 813,540.33 = 205,304.69 : x
  2. Step 2: Convert to fraction form
    542,354.54/813,540.33 = 205,304.69/x
  3. Step 3: Cross multiply
    542,354.54x = 813,540.33 × 205,304.69
  4. Step 4: Simplify right side
    542,354.54x = 167,023,647,287.00
  5. Step 5: Solve for x
    x = 167,023,647,287.00/542,354.54
  6. Step 6: Final answer
    x = 307,960.27

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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.