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Finding the Fourth Proportional to 342,296.82, 472,372.70 and 189,326.97

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Solution

The fourth proportional to 342,296.82, 472,372.70 and 189,326.97 is: 261,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,296.82 : 472,372.70 = 189,326.97 : x
  2. Step 2: Convert to fraction form
    342,296.82/472,372.70 = 189,326.97/x
  3. Step 3: Cross multiply
    342,296.82x = 472,372.70 × 189,326.97
  4. Step 4: Simplify right side
    342,296.82x = 89,432,891,055.08
  5. Step 5: Solve for x
    x = 89,432,891,055.08/342,296.82
  6. Step 6: Final answer
    x = 261,272.92

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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.