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Finding the Fourth Proportional to 542,470.28, 813,594.22 and 205,394.64

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Solution

The fourth proportional to 542,470.28, 813,594.22 and 205,394.64 is: 308,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,470.28 : 813,594.22 = 205,394.64 : x
  2. Step 2: Convert to fraction form
    542,470.28/813,594.22 = 205,394.64/x
  3. Step 3: Cross multiply
    542,470.28x = 813,594.22 × 205,394.64
  4. Step 4: Simplify right side
    542,470.28x = 167,107,891,922.98
  5. Step 5: Solve for x
    x = 167,107,891,922.98/542,470.28
  6. Step 6: Final answer
    x = 308,049.86

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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.