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Finding the Fourth Proportional to 416,403.11, 574,633.71 and 225,415.13

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Solution

The fourth proportional to 416,403.11, 574,633.71 and 225,415.13 is: 311,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403.11 : 574,633.71 = 225,415.13 : x
  2. Step 2: Convert to fraction form
    416,403.11/574,633.71 = 225,415.13/x
  3. Step 3: Cross multiply
    416,403.11x = 574,633.71 × 225,415.13
  4. Step 4: Simplify right side
    416,403.11x = 129,531,129,568.86
  5. Step 5: Solve for x
    x = 129,531,129,568.86/416,403.11
  6. Step 6: Final answer
    x = 311,071.47

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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.