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Finding the Fourth Proportional to 400,872.85, 601,234.09 and 201,139.61

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Solution

The fourth proportional to 400,872.85, 601,234.09 and 201,139.61 is: 301,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,872.85 : 601,234.09 = 201,139.61 : x
  2. Step 2: Convert to fraction form
    400,872.85/601,234.09 = 201,139.61/x
  3. Step 3: Cross multiply
    400,872.85x = 601,234.09 × 201,139.61
  4. Step 4: Simplify right side
    400,872.85x = 120,931,988,003.70
  5. Step 5: Solve for x
    x = 120,931,988,003.70/400,872.85
  6. Step 6: Final answer
    x = 301,671.69

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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.