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Finding the Fourth Proportional to 312,698.46, 468,769.29 and 112,974.30

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Solution

The fourth proportional to 312,698.46, 468,769.29 and 112,974.30 is: 169,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,698.46 : 468,769.29 = 112,974.30 : x
  2. Step 2: Convert to fraction form
    312,698.46/468,769.29 = 112,974.30/x
  3. Step 3: Cross multiply
    312,698.46x = 468,769.29 × 112,974.30
  4. Step 4: Simplify right side
    312,698.46x = 52,958,882,399.25
  5. Step 5: Solve for x
    x = 52,958,882,399.25/312,698.46
  6. Step 6: Final answer
    x = 169,360.87

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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.