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Finding the Fourth Proportional to 321,429.26, 482,211.32 and 121,745.22

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Solution

The fourth proportional to 321,429.26, 482,211.32 and 121,745.22 is: 182,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,429.26 : 482,211.32 = 121,745.22 : x
  2. Step 2: Convert to fraction form
    321,429.26/482,211.32 = 121,745.22/x
  3. Step 3: Cross multiply
    321,429.26x = 482,211.32 × 121,745.22
  4. Step 4: Simplify right side
    321,429.26x = 58,706,922,631.16
  5. Step 5: Solve for x
    x = 58,706,922,631.16/321,429.26
  6. Step 6: Final answer
    x = 182,643.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.