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Finding the Fourth Proportional to 427,954.14, 641,020.82 and 347,614.69

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Solution

The fourth proportional to 427,954.14, 641,020.82 and 347,614.69 is: 520,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,954.14 : 641,020.82 = 347,614.69 : x
  2. Step 2: Convert to fraction form
    427,954.14/641,020.82 = 347,614.69/x
  3. Step 3: Cross multiply
    427,954.14x = 641,020.82 × 347,614.69
  4. Step 4: Simplify right side
    427,954.14x = 222,828,253,627.85
  5. Step 5: Solve for x
    x = 222,828,253,627.85/427,954.14
  6. Step 6: Final answer
    x = 520,682.55

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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.