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Finding the Fourth Proportional to 409,855.80, 614,121.30 and 231,833.40

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Solution

The fourth proportional to 409,855.80, 614,121.30 and 231,833.40 is: 347,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,855.80 : 614,121.30 = 231,833.40 : x
  2. Step 2: Convert to fraction form
    409,855.80/614,121.30 = 231,833.40/x
  3. Step 3: Cross multiply
    409,855.80x = 614,121.30 × 231,833.40
  4. Step 4: Simplify right side
    409,855.80x = 142,373,828,991.42
  5. Step 5: Solve for x
    x = 142,373,828,991.42/409,855.80
  6. Step 6: Final answer
    x = 347,375.42

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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.