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Finding the Fourth Proportional to 382,099.78, 527,163.29 and 229,187.48

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Solution

The fourth proportional to 382,099.78, 527,163.29 and 229,187.48 is: 316,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,099.78 : 527,163.29 = 229,187.48 : x
  2. Step 2: Convert to fraction form
    382,099.78/527,163.29 = 229,187.48/x
  3. Step 3: Cross multiply
    382,099.78x = 527,163.29 × 229,187.48
  4. Step 4: Simplify right side
    382,099.78x = 120,819,223,061.31
  5. Step 5: Solve for x
    x = 120,819,223,061.31/382,099.78
  6. Step 6: Final answer
    x = 316,198.10

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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.