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Finding the Fourth Proportional to 561,912.75, 842,869.98 and 229,488.75

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Solution

The fourth proportional to 561,912.75, 842,869.98 and 229,488.75 is: 344,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,912.75 : 842,869.98 = 229,488.75 : x
  2. Step 2: Convert to fraction form
    561,912.75/842,869.98 = 229,488.75/x
  3. Step 3: Cross multiply
    561,912.75x = 842,869.98 × 229,488.75
  4. Step 4: Simplify right side
    561,912.75x = 193,429,178,122.73
  5. Step 5: Solve for x
    x = 193,429,178,122.73/561,912.75
  6. Step 6: Final answer
    x = 344,233.47

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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.