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Finding the Fourth Proportional to 342,917.25, 473,229.59 and 189,957.78

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Solution

The fourth proportional to 342,917.25, 473,229.59 and 189,957.78 is: 262,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,917.25 : 473,229.59 = 189,957.78 : x
  2. Step 2: Convert to fraction form
    342,917.25/473,229.59 = 189,957.78/x
  3. Step 3: Cross multiply
    342,917.25x = 473,229.59 × 189,957.78
  4. Step 4: Simplify right side
    342,917.25x = 89,893,641,396.92
  5. Step 5: Solve for x
    x = 89,893,641,396.92/342,917.25
  6. Step 6: Final answer
    x = 262,143.83

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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.