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Finding the Fourth Proportional to 271,266.60, 406,608.30 and 102,721.80

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Solution

The fourth proportional to 271,266.60, 406,608.30 and 102,721.80 is: 153,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,266.60 : 406,608.30 = 102,721.80 : x
  2. Step 2: Convert to fraction form
    271,266.60/406,608.30 = 102,721.80/x
  3. Step 3: Cross multiply
    271,266.60x = 406,608.30 × 102,721.80
  4. Step 4: Simplify right side
    271,266.60x = 41,767,536,470.94
  5. Step 5: Solve for x
    x = 41,767,536,470.94/271,266.60
  6. Step 6: Final answer
    x = 153,972.28

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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.