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Finding the Fourth Proportional to 312,379.38, 468,564.89 and 75,724.11

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Solution

The fourth proportional to 312,379.38, 468,564.89 and 75,724.11 is: 113,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,379.38 : 468,564.89 = 75,724.11 : x
  2. Step 2: Convert to fraction form
    312,379.38/468,564.89 = 75,724.11/x
  3. Step 3: Cross multiply
    312,379.38x = 468,564.89 × 75,724.11
  4. Step 4: Simplify right side
    312,379.38x = 35,481,658,893.88
  5. Step 5: Solve for x
    x = 35,481,658,893.88/312,379.38
  6. Step 6: Final answer
    x = 113,585.15

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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.