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Finding the Fourth Proportional to 225,398.26, 311,074.43 and 143,729.52

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Solution

The fourth proportional to 225,398.26, 311,074.43 and 143,729.52 is: 198,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,398.26 : 311,074.43 = 143,729.52 : x
  2. Step 2: Convert to fraction form
    225,398.26/311,074.43 = 143,729.52/x
  3. Step 3: Cross multiply
    225,398.26x = 311,074.43 × 143,729.52
  4. Step 4: Simplify right side
    225,398.26x = 44,710,578,508.17
  5. Step 5: Solve for x
    x = 44,710,578,508.17/225,398.26
  6. Step 6: Final answer
    x = 198,362.57

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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.