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Finding the Fourth Proportional to 416,721.58, 575,078.56 and 225,734.98

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Solution

The fourth proportional to 416,721.58, 575,078.56 and 225,734.98 is: 311,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,721.58 : 575,078.56 = 225,734.98 : x
  2. Step 2: Convert to fraction form
    416,721.58/575,078.56 = 225,734.98/x
  3. Step 3: Cross multiply
    416,721.58x = 575,078.56 × 225,734.98
  4. Step 4: Simplify right side
    416,721.58x = 129,815,347,240.03
  5. Step 5: Solve for x
    x = 129,815,347,240.03/416,721.58
  6. Step 6: Final answer
    x = 311,515.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.