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Finding the Fourth Proportional to 416,739.25, 575,104.17 and 225,756.78

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Solution

The fourth proportional to 416,739.25, 575,104.17 and 225,756.78 is: 311,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,739.25 : 575,104.17 = 225,756.78 : x
  2. Step 2: Convert to fraction form
    416,739.25/575,104.17 = 225,756.78/x
  3. Step 3: Cross multiply
    416,739.25x = 575,104.17 × 225,756.78
  4. Step 4: Simplify right side
    416,739.25x = 129,833,665,583.77
  5. Step 5: Solve for x
    x = 129,833,665,583.77/416,739.25
  6. Step 6: Final answer
    x = 311,546.53

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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.