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Finding the Fourth Proportional to 416,428.56, 574,672.73 and 225,442.71

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Solution

The fourth proportional to 416,428.56, 574,672.73 and 225,442.71 is: 311,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,428.56 : 574,672.73 = 225,442.71 : x
  2. Step 2: Convert to fraction form
    416,428.56/574,672.73 = 225,442.71/x
  3. Step 3: Cross multiply
    416,428.56x = 574,672.73 × 225,442.71
  4. Step 4: Simplify right side
    416,428.56x = 129,555,776,487.09
  5. Step 5: Solve for x
    x = 129,555,776,487.09/416,428.56
  6. Step 6: Final answer
    x = 311,111.65

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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.