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Finding the Fourth Proportional to 312,419.02, 468,628.38 and 75,761.66

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Solution

The fourth proportional to 312,419.02, 468,628.38 and 75,761.66 is: 113,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,419.02 : 468,628.38 = 75,761.66 : x
  2. Step 2: Convert to fraction form
    312,419.02/468,628.38 = 75,761.66/x
  3. Step 3: Cross multiply
    312,419.02x = 468,628.38 × 75,761.66
  4. Step 4: Simplify right side
    312,419.02x = 35,504,063,991.91
  5. Step 5: Solve for x
    x = 35,504,063,991.91/312,419.02
  6. Step 6: Final answer
    x = 113,642.45

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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.