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Finding the Fourth Proportional to 342,715.85, 472,932.43 and 189,743.30

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Solution

The fourth proportional to 342,715.85, 472,932.43 and 189,743.30 is: 261,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,715.85 : 472,932.43 = 189,743.30 : x
  2. Step 2: Convert to fraction form
    342,715.85/472,932.43 = 189,743.30/x
  3. Step 3: Cross multiply
    342,715.85x = 472,932.43 × 189,743.30
  4. Step 4: Simplify right side
    342,715.85x = 89,735,759,945.22
  5. Step 5: Solve for x
    x = 89,735,759,945.22/342,715.85
  6. Step 6: Final answer
    x = 261,837.20

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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.