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Finding the Fourth Proportional to 323,933.31, 485,993.30 and 99,326.84

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Solution

The fourth proportional to 323,933.31, 485,993.30 and 99,326.84 is: 149,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,933.31 : 485,993.30 = 99,326.84 : x
  2. Step 2: Convert to fraction form
    323,933.31/485,993.30 = 99,326.84/x
  3. Step 3: Cross multiply
    323,933.31x = 485,993.30 × 99,326.84
  4. Step 4: Simplify right side
    323,933.31x = 48,272,175,823.57
  5. Step 5: Solve for x
    x = 48,272,175,823.57/323,933.31
  6. Step 6: Final answer
    x = 149,018.87

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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.