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Finding the Fourth Proportional to 312,757.30, 469,136.31 and 76,098.34

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Solution

The fourth proportional to 312,757.30, 469,136.31 and 76,098.34 is: 114,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,757.30 : 469,136.31 = 76,098.34 : x
  2. Step 2: Convert to fraction form
    312,757.30/469,136.31 = 76,098.34/x
  3. Step 3: Cross multiply
    312,757.30x = 469,136.31 × 76,098.34
  4. Step 4: Simplify right side
    312,757.30x = 35,700,494,424.73
  5. Step 5: Solve for x
    x = 35,700,494,424.73/312,757.30
  6. Step 6: Final answer
    x = 114,147.60

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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.