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Finding the Fourth Proportional to 312,757.42, 469,786.02 and 252,853.60

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Solution

The fourth proportional to 312,757.42, 469,786.02 and 252,853.60 is: 379,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,757.42 : 469,786.02 = 252,853.60 : x
  2. Step 2: Convert to fraction form
    312,757.42/469,786.02 = 252,853.60/x
  3. Step 3: Cross multiply
    312,757.42x = 469,786.02 × 252,853.60
  4. Step 4: Simplify right side
    312,757.42x = 118,787,086,386.67
  5. Step 5: Solve for x
    x = 118,787,086,386.67/312,757.42
  6. Step 6: Final answer
    x = 379,805.81

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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.