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Finding the Fourth Proportional to 230,000.40, 345,000.60 and 200,475.90

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Solution

The fourth proportional to 230,000.40, 345,000.60 and 200,475.90 is: 300,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,000.40 : 345,000.60 = 200,475.90 : x
  2. Step 2: Convert to fraction form
    230,000.40/345,000.60 = 200,475.90/x
  3. Step 3: Cross multiply
    230,000.40x = 345,000.60 × 200,475.90
  4. Step 4: Simplify right side
    230,000.40x = 69,164,305,785.54
  5. Step 5: Solve for x
    x = 69,164,305,785.54/230,000.40
  6. Step 6: Final answer
    x = 300,713.85

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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.