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Finding the Fourth Proportional to 200,408.88, 300,580.92 and 60,142.80

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Solution

The fourth proportional to 200,408.88, 300,580.92 and 60,142.80 is: 90,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408.88 : 300,580.92 = 60,142.80 : x
  2. Step 2: Convert to fraction form
    200,408.88/300,580.92 = 60,142.80/x
  3. Step 3: Cross multiply
    200,408.88x = 300,580.92 × 60,142.80
  4. Step 4: Simplify right side
    200,408.88x = 18,077,778,155.38
  5. Step 5: Solve for x
    x = 18,077,778,155.38/200,408.88
  6. Step 6: Final answer
    x = 90,204.48

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1.5x scale

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.