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Finding the Fourth Proportional to 312,991.30, 469,491.81 and 76,338.46

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Solution

The fourth proportional to 312,991.30, 469,491.81 and 76,338.46 is: 114,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,991.30 : 469,491.81 = 76,338.46 : x
  2. Step 2: Convert to fraction form
    312,991.30/469,491.81 = 76,338.46/x
  3. Step 3: Cross multiply
    312,991.30x = 469,491.81 × 76,338.46
  4. Step 4: Simplify right side
    312,991.30x = 35,840,281,758.01
  5. Step 5: Solve for x
    x = 35,840,281,758.01/312,991.30
  6. Step 6: Final answer
    x = 114,508.88

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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.