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Finding the Fourth Proportional to 312,296, 468,456.96 and 90,680

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Solution

The fourth proportional to 312,296, 468,456.96 and 90,680 is: 136,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296 : 468,456.96 = 90,680 : x
  2. Step 2: Convert to fraction form
    312,296/468,456.96 = 90,680/x
  3. Step 3: Cross multiply
    312,296x = 468,456.96 × 90,680
  4. Step 4: Simplify right side
    312,296x = 42,479,677,132.80
  5. Step 5: Solve for x
    x = 42,479,677,132.80/312,296
  6. Step 6: Final answer
    x = 136,023.76

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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.