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Finding the Fourth Proportional to 409,865.80, 614,136.30 and 231,843.40

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Solution

The fourth proportional to 409,865.80, 614,136.30 and 231,843.40 is: 347,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,865.80 : 614,136.30 = 231,843.40 : x
  2. Step 2: Convert to fraction form
    409,865.80/614,136.30 = 231,843.40/x
  3. Step 3: Cross multiply
    409,865.80x = 614,136.30 × 231,843.40
  4. Step 4: Simplify right side
    409,865.80x = 142,383,447,855.42
  5. Step 5: Solve for x
    x = 142,383,447,855.42/409,865.80
  6. Step 6: Final answer
    x = 347,390.41

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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.