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Finding the Fourth Proportional to 307,722.60, 461,195.10 and 274,285.80

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Solution

The fourth proportional to 307,722.60, 461,195.10 and 274,285.80 is: 411,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722.60 : 461,195.10 = 274,285.80 : x
  2. Step 2: Convert to fraction form
    307,722.60/461,195.10 = 274,285.80/x
  3. Step 3: Cross multiply
    307,722.60x = 461,195.10 × 274,285.80
  4. Step 4: Simplify right side
    307,722.60x = 126,499,266,959.58
  5. Step 5: Solve for x
    x = 126,499,266,959.58/307,722.60
  6. Step 6: Final answer
    x = 411,082.15

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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.