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Finding the Fourth Proportional to 271,253.80, 405,728.70 and 243,375.40

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Solution

The fourth proportional to 271,253.80, 405,728.70 and 243,375.40 is: 364,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,253.80 : 405,728.70 = 243,375.40 : x
  2. Step 2: Convert to fraction form
    271,253.80/405,728.70 = 243,375.40/x
  3. Step 3: Cross multiply
    271,253.80x = 405,728.70 × 243,375.40
  4. Step 4: Simplify right side
    271,253.80x = 98,744,384,653.98
  5. Step 5: Solve for x
    x = 98,744,384,653.98/271,253.80
  6. Step 6: Final answer
    x = 364,029.50

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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.