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Finding the Fourth Proportional to 312,372.25, 468,558.27 and 75,714.85

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Solution

The fourth proportional to 312,372.25, 468,558.27 and 75,714.85 is: 113,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372.25 : 468,558.27 = 75,714.85 : x
  2. Step 2: Convert to fraction form
    312,372.25/468,558.27 = 75,714.85/x
  3. Step 3: Cross multiply
    312,372.25x = 468,558.27 × 75,714.85
  4. Step 4: Simplify right side
    312,372.25x = 35,476,819,715.01
  5. Step 5: Solve for x
    x = 35,476,819,715.01/312,372.25
  6. Step 6: Final answer
    x = 113,572.25

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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.