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Finding the Fourth Proportional to 200,652.38, 300,945.75 and 60,378.20

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Solution

The fourth proportional to 200,652.38, 300,945.75 and 60,378.20 is: 90,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,652.38 : 300,945.75 = 60,378.20 : x
  2. Step 2: Convert to fraction form
    200,652.38/300,945.75 = 60,378.20/x
  3. Step 3: Cross multiply
    200,652.38x = 300,945.75 × 60,378.20
  4. Step 4: Simplify right side
    200,652.38x = 18,170,561,177.92
  5. Step 5: Solve for x
    x = 18,170,561,177.92/200,652.38
  6. Step 6: Final answer
    x = 90,557.42

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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.