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Finding the Fourth Proportional to 342,137.92, 472,131.28 and 189,167.24

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Solution

The fourth proportional to 342,137.92, 472,131.28 and 189,167.24 is: 261,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,137.92 : 472,131.28 = 189,167.24 : x
  2. Step 2: Convert to fraction form
    342,137.92/472,131.28 = 189,167.24/x
  3. Step 3: Cross multiply
    342,137.92x = 472,131.28 × 189,167.24
  4. Step 4: Simplify right side
    342,137.92x = 89,311,771,155.27
  5. Step 5: Solve for x
    x = 89,311,771,155.27/342,137.92
  6. Step 6: Final answer
    x = 261,040.26

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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.