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Finding the Fourth Proportional to 284,859.40, 426,770.70 and 231,982.60

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Solution

The fourth proportional to 284,859.40, 426,770.70 and 231,982.60 is: 347,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859.40 : 426,770.70 = 231,982.60 : x
  2. Step 2: Convert to fraction form
    284,859.40/426,770.70 = 231,982.60/x
  3. Step 3: Cross multiply
    284,859.40x = 426,770.70 × 231,982.60
  4. Step 4: Simplify right side
    284,859.40x = 99,003,376,589.82
  5. Step 5: Solve for x
    x = 99,003,376,589.82/284,859.40
  6. Step 6: Final answer
    x = 347,551.73

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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.