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Finding the Fourth Proportional to 979,777, 1,469,758.38 and 380,784.34

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Solution

The fourth proportional to 979,777, 1,469,758.38 and 380,784.34 is: 571,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,777 : 1,469,758.38 = 380,784.34 : x
  2. Step 2: Convert to fraction form
    979,777/1,469,758.38 = 380,784.34/x
  3. Step 3: Cross multiply
    979,777x = 1,469,758.38 × 380,784.34
  4. Step 4: Simplify right side
    979,777x = 559,660,974,687.77
  5. Step 5: Solve for x
    x = 559,660,974,687.77/979,777
  6. Step 6: Final answer
    x = 571,212.61

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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.