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Finding the Fourth Proportional to 342,712.35, 472,957.83 and 189,750.54

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Solution

The fourth proportional to 342,712.35, 472,957.83 and 189,750.54 is: 261,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,712.35 : 472,957.83 = 189,750.54 : x
  2. Step 2: Convert to fraction form
    342,712.35/472,957.83 = 189,750.54/x
  3. Step 3: Cross multiply
    342,712.35x = 472,957.83 × 189,750.54
  4. Step 4: Simplify right side
    342,712.35x = 89,744,003,639.73
  5. Step 5: Solve for x
    x = 89,744,003,639.73/342,712.35
  6. Step 6: Final answer
    x = 261,863.93

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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.