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Finding the Fourth Proportional to 342,154.06, 472,169.76 and 189,198.92

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Solution

The fourth proportional to 342,154.06, 472,169.76 and 189,198.92 is: 261,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,154.06 : 472,169.76 = 189,198.92 : x
  2. Step 2: Convert to fraction form
    342,154.06/472,169.76 = 189,198.92/x
  3. Step 3: Cross multiply
    342,154.06x = 472,169.76 × 189,198.92
  4. Step 4: Simplify right side
    342,154.06x = 89,334,008,648.66
  5. Step 5: Solve for x
    x = 89,334,008,648.66/342,154.06
  6. Step 6: Final answer
    x = 261,092.94

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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.