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Finding the Fourth Proportional to 342,154.22, 472,131.62 and 189,171.75

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Solution

The fourth proportional to 342,154.22, 472,131.62 and 189,171.75 is: 261,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.22 : 472,131.62 = 189,171.75 : x
  2. Step 2: Convert to fraction form
    342,154.22/472,131.62 = 189,171.75/x
  3. Step 3: Cross multiply
    342,154.22x = 472,131.62 × 189,171.75
  4. Step 4: Simplify right side
    342,154.22x = 89,313,963,839.88
  5. Step 5: Solve for x
    x = 89,313,963,839.88/342,154.22
  6. Step 6: Final answer
    x = 261,034.23

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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.