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Finding the Fourth Proportional to 312,213.12, 468,319.70 and 75,555.82

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Solution

The fourth proportional to 312,213.12, 468,319.70 and 75,555.82 is: 113,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,213.12 : 468,319.70 = 75,555.82 : x
  2. Step 2: Convert to fraction form
    312,213.12/468,319.70 = 75,555.82/x
  3. Step 3: Cross multiply
    312,213.12x = 468,319.70 × 75,555.82
  4. Step 4: Simplify right side
    312,213.12x = 35,384,278,955.65
  5. Step 5: Solve for x
    x = 35,384,278,955.65/312,213.12
  6. Step 6: Final answer
    x = 113,333.73

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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.