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Finding the Fourth Proportional to 228,998.43, 315,991.56 and 132,201.90

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Solution

The fourth proportional to 228,998.43, 315,991.56 and 132,201.90 is: 182,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,998.43 : 315,991.56 = 132,201.90 : x
  2. Step 2: Convert to fraction form
    228,998.43/315,991.56 = 132,201.90/x
  3. Step 3: Cross multiply
    228,998.43x = 315,991.56 × 132,201.90
  4. Step 4: Simplify right side
    228,998.43x = 41,774,684,615.96
  5. Step 5: Solve for x
    x = 41,774,684,615.96/228,998.43
  6. Step 6: Final answer
    x = 182,423.45

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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.