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Finding the Fourth Proportional to 312,338, 468,505.36 and 75,680.72

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Solution

The fourth proportional to 312,338, 468,505.36 and 75,680.72 is: 113,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,338 : 468,505.36 = 75,680.72 : x
  2. Step 2: Convert to fraction form
    312,338/468,505.36 = 75,680.72/x
  3. Step 3: Cross multiply
    312,338x = 468,505.36 × 75,680.72
  4. Step 4: Simplify right side
    312,338x = 35,456,822,968.66
  5. Step 5: Solve for x
    x = 35,456,822,968.66/312,338
  6. Step 6: Final answer
    x = 113,520.68

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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.