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Finding the Fourth Proportional to 342,143.23, 472,149.29 and 189,177.54

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Solution

The fourth proportional to 342,143.23, 472,149.29 and 189,177.54 is: 261,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143.23 : 472,149.29 = 189,177.54 : x
  2. Step 2: Convert to fraction form
    342,143.23/472,149.29 = 189,177.54/x
  3. Step 3: Cross multiply
    342,143.23x = 472,149.29 × 189,177.54
  4. Step 4: Simplify right side
    342,143.23x = 89,320,041,194.95
  5. Step 5: Solve for x
    x = 89,320,041,194.95/342,143.23
  6. Step 6: Final answer
    x = 261,060.38

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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.