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Finding the Fourth Proportional to 312,376.40, 468,563.04 and 75,719.09

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Solution

The fourth proportional to 312,376.40, 468,563.04 and 75,719.09 is: 113,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.40 : 468,563.04 = 75,719.09 : x
  2. Step 2: Convert to fraction form
    312,376.40/468,563.04 = 75,719.09/x
  3. Step 3: Cross multiply
    312,376.40x = 468,563.04 × 75,719.09
  4. Step 4: Simplify right side
    312,376.40x = 35,479,166,996.43
  5. Step 5: Solve for x
    x = 35,479,166,996.43/312,376.40
  6. Step 6: Final answer
    x = 113,578.26

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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.