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Finding the Fourth Proportional to 228,002.70, 342,004.05 and 133,524.30

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Solution

The fourth proportional to 228,002.70, 342,004.05 and 133,524.30 is: 200,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002.70 : 342,004.05 = 133,524.30 : x
  2. Step 2: Convert to fraction form
    228,002.70/342,004.05 = 133,524.30/x
  3. Step 3: Cross multiply
    228,002.70x = 342,004.05 × 133,524.30
  4. Step 4: Simplify right side
    228,002.70x = 45,665,851,373.42
  5. Step 5: Solve for x
    x = 45,665,851,373.42/228,002.70
  6. Step 6: Final answer
    x = 200,286.45

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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.