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Finding the Fourth Proportional to 342,205.90, 472,247.13 and 189,236.14

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Solution

The fourth proportional to 342,205.90, 472,247.13 and 189,236.14 is: 261,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,205.90 : 472,247.13 = 189,236.14 : x
  2. Step 2: Convert to fraction form
    342,205.90/472,247.13 = 189,236.14/x
  3. Step 3: Cross multiply
    342,205.90x = 472,247.13 × 189,236.14
  4. Step 4: Simplify right side
    342,205.90x = 89,366,224,007.28
  5. Step 5: Solve for x
    x = 89,366,224,007.28/342,205.90
  6. Step 6: Final answer
    x = 261,147.53

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1.5x scale

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.