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Finding the Fourth Proportional to 431,310.80, 646,745.28 and 231,799.16

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Solution

The fourth proportional to 431,310.80, 646,745.28 and 231,799.16 is: 347,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,310.80 : 646,745.28 = 231,799.16 : x
  2. Step 2: Convert to fraction form
    431,310.80/646,745.28 = 231,799.16/x
  3. Step 3: Cross multiply
    431,310.80x = 646,745.28 × 231,799.16
  4. Step 4: Simplify right side
    431,310.80x = 149,915,012,637.97
  5. Step 5: Solve for x
    x = 149,915,012,637.97/431,310.80
  6. Step 6: Final answer
    x = 347,580.01

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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.