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Finding the Fourth Proportional to 200,438.20, 300,657.30 and 60,178.60

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Solution

The fourth proportional to 200,438.20, 300,657.30 and 60,178.60 is: 90,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.20 : 300,657.30 = 60,178.60 : x
  2. Step 2: Convert to fraction form
    200,438.20/300,657.30 = 60,178.60/x
  3. Step 3: Cross multiply
    200,438.20x = 300,657.30 × 60,178.60
  4. Step 4: Simplify right side
    200,438.20x = 18,093,135,393.78
  5. Step 5: Solve for x
    x = 18,093,135,393.78/200,438.20
  6. Step 6: Final answer
    x = 90,267.90

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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.