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Finding the Fourth Proportional to 312,405.27, 468,609.41 and 75,747.93

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Solution

The fourth proportional to 312,405.27, 468,609.41 and 75,747.93 is: 113,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,405.27 : 468,609.41 = 75,747.93 : x
  2. Step 2: Convert to fraction form
    312,405.27/468,609.41 = 75,747.93/x
  3. Step 3: Cross multiply
    312,405.27x = 468,609.41 × 75,747.93
  4. Step 4: Simplify right side
    312,405.27x = 35,496,192,786.02
  5. Step 5: Solve for x
    x = 35,496,192,786.02/312,405.27
  6. Step 6: Final answer
    x = 113,622.26

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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.