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Finding the Fourth Proportional to 271,220.80, 406,535.64 and 231,657.88

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Solution

The fourth proportional to 271,220.80, 406,535.64 and 231,657.88 is: 347,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,220.80 : 406,535.64 = 231,657.88 : x
  2. Step 2: Convert to fraction form
    271,220.80/406,535.64 = 231,657.88/x
  3. Step 3: Cross multiply
    271,220.80x = 406,535.64 × 231,657.88
  4. Step 4: Simplify right side
    271,220.80x = 94,177,184,506.84
  5. Step 5: Solve for x
    x = 94,177,184,506.84/271,220.80
  6. Step 6: Final answer
    x = 347,234.37

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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.