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Finding the Fourth Proportional to 325,372.80, 488,266.56 and 138,384

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Solution

The fourth proportional to 325,372.80, 488,266.56 and 138,384 is: 207,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,372.80 : 488,266.56 = 138,384 : x
  2. Step 2: Convert to fraction form
    325,372.80/488,266.56 = 138,384/x
  3. Step 3: Cross multiply
    325,372.80x = 488,266.56 × 138,384
  4. Step 4: Simplify right side
    325,372.80x = 67,568,279,639.04
  5. Step 5: Solve for x
    x = 67,568,279,639.04/325,372.80
  6. Step 6: Final answer
    x = 207,664.19

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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.