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Finding the Fourth Proportional to 416,543.09, 574,832.21 and 225,556.47

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Solution

The fourth proportional to 416,543.09, 574,832.21 and 225,556.47 is: 311,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,543.09 : 574,832.21 = 225,556.47 : x
  2. Step 2: Convert to fraction form
    416,543.09/574,832.21 = 225,556.47/x
  3. Step 3: Cross multiply
    416,543.09x = 574,832.21 × 225,556.47
  4. Step 4: Simplify right side
    416,543.09x = 129,657,123,002.12
  5. Step 5: Solve for x
    x = 129,657,123,002.12/416,543.09
  6. Step 6: Final answer
    x = 311,269.42

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