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Finding the Fourth Proportional to 312,370.88, 468,556.30 and 75,713.56

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Solution

The fourth proportional to 312,370.88, 468,556.30 and 75,713.56 is: 113,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,370.88 : 468,556.30 = 75,713.56 : x
  2. Step 2: Convert to fraction form
    312,370.88/468,556.30 = 75,713.56/x
  3. Step 3: Cross multiply
    312,370.88x = 468,556.30 × 75,713.56
  4. Step 4: Simplify right side
    312,370.88x = 35,476,065,533.43
  5. Step 5: Solve for x
    x = 35,476,065,533.43/312,370.88
  6. Step 6: Final answer
    x = 113,570.34

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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.