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Finding the Fourth Proportional to 381,864, 572,652 and 306,799.68

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Solution

The fourth proportional to 381,864, 572,652 and 306,799.68 is: 460,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,864 : 572,652 = 306,799.68 : x
  2. Step 2: Convert to fraction form
    381,864/572,652 = 306,799.68/x
  3. Step 3: Cross multiply
    381,864x = 572,652 × 306,799.68
  4. Step 4: Simplify right side
    381,864x = 175,689,450,351.36
  5. Step 5: Solve for x
    x = 175,689,450,351.36/381,864
  6. Step 6: Final answer
    x = 460,083.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.