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Finding the Fourth Proportional to 342,324.12, 472,370.90 and 189,338

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Solution

The fourth proportional to 342,324.12, 472,370.90 and 189,338 is: 261,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,324.12 : 472,370.90 = 189,338 : x
  2. Step 2: Convert to fraction form
    342,324.12/472,370.90 = 189,338/x
  3. Step 3: Cross multiply
    342,324.12x = 472,370.90 × 189,338
  4. Step 4: Simplify right side
    342,324.12x = 89,437,761,464.20
  5. Step 5: Solve for x
    x = 89,437,761,464.20/342,324.12
  6. Step 6: Final answer
    x = 261,266.32

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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.