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Finding the Fourth Proportional to 361,806.70, 542,710.05 and 221,838.70

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Solution

The fourth proportional to 361,806.70, 542,710.05 and 221,838.70 is: 332,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,806.70 : 542,710.05 = 221,838.70 : x
  2. Step 2: Convert to fraction form
    361,806.70/542,710.05 = 221,838.70/x
  3. Step 3: Cross multiply
    361,806.70x = 542,710.05 × 221,838.70
  4. Step 4: Simplify right side
    361,806.70x = 120,394,091,968.94
  5. Step 5: Solve for x
    x = 120,394,091,968.94/361,806.70
  6. Step 6: Final answer
    x = 332,758.05

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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.