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Finding the Fourth Proportional to 312,511.53, 468,767.53 and 75,854.44

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Solution

The fourth proportional to 312,511.53, 468,767.53 and 75,854.44 is: 113,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,511.53 : 468,767.53 = 75,854.44 : x
  2. Step 2: Convert to fraction form
    312,511.53/468,767.53 = 75,854.44/x
  3. Step 3: Cross multiply
    312,511.53x = 468,767.53 × 75,854.44
  4. Step 4: Simplify right side
    312,511.53x = 35,558,096,134.50
  5. Step 5: Solve for x
    x = 35,558,096,134.50/312,511.53
  6. Step 6: Final answer
    x = 113,781.71

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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.