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Finding the Fourth Proportional to 467,851.72, 645,635.42 and 252,991.78

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Solution

The fourth proportional to 467,851.72, 645,635.42 and 252,991.78 is: 349,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,851.72 : 645,635.42 = 252,991.78 : x
  2. Step 2: Convert to fraction form
    467,851.72/645,635.42 = 252,991.78/x
  3. Step 3: Cross multiply
    467,851.72x = 645,635.42 × 252,991.78
  4. Step 4: Simplify right side
    467,851.72x = 163,340,454,136.85
  5. Step 5: Solve for x
    x = 163,340,454,136.85/467,851.72
  6. Step 6: Final answer
    x = 349,128.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.