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Finding the Fourth Proportional to 228,145.20, 342,217.80 and 133,666.80

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Solution

The fourth proportional to 228,145.20, 342,217.80 and 133,666.80 is: 200,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,145.20 : 342,217.80 = 133,666.80 : x
  2. Step 2: Convert to fraction form
    228,145.20/342,217.80 = 133,666.80/x
  3. Step 3: Cross multiply
    228,145.20x = 342,217.80 × 133,666.80
  4. Step 4: Simplify right side
    228,145.20x = 45,743,158,229.04
  5. Step 5: Solve for x
    x = 45,743,158,229.04/228,145.20
  6. Step 6: Final answer
    x = 200,500.20

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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.