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Finding the Fourth Proportional to 200,160.16, 300,217.92 and 50,400.40

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Solution

The fourth proportional to 200,160.16, 300,217.92 and 50,400.40 is: 75,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,160.16 : 300,217.92 = 50,400.40 : x
  2. Step 2: Convert to fraction form
    200,160.16/300,217.92 = 50,400.40/x
  3. Step 3: Cross multiply
    200,160.16x = 300,217.92 × 50,400.40
  4. Step 4: Simplify right side
    200,160.16x = 15,131,103,255.17
  5. Step 5: Solve for x
    x = 15,131,103,255.17/200,160.16
  6. Step 6: Final answer
    x = 75,594.98

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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.