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Finding the Fourth Proportional to 342,697.41, 472,906.98 and 189,724.86

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Solution

The fourth proportional to 342,697.41, 472,906.98 and 189,724.86 is: 261,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,697.41 : 472,906.98 = 189,724.86 : x
  2. Step 2: Convert to fraction form
    342,697.41/472,906.98 = 189,724.86/x
  3. Step 3: Cross multiply
    342,697.41x = 472,906.98 × 189,724.86
  4. Step 4: Simplify right side
    342,697.41x = 89,722,210,573.52
  5. Step 5: Solve for x
    x = 89,722,210,573.52/342,697.41
  6. Step 6: Final answer
    x = 261,811.76

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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.