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Finding the Fourth Proportional to 271,700.10, 407,987.55 and 205,215.30

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Solution

The fourth proportional to 271,700.10, 407,987.55 and 205,215.30 is: 308,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,700.10 : 407,987.55 = 205,215.30 : x
  2. Step 2: Convert to fraction form
    271,700.10/407,987.55 = 205,215.30/x
  3. Step 3: Cross multiply
    271,700.10x = 407,987.55 × 205,215.30
  4. Step 4: Simplify right side
    271,700.10x = 83,725,287,469.52
  5. Step 5: Solve for x
    x = 83,725,287,469.52/271,700.10
  6. Step 6: Final answer
    x = 308,153.32

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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.