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Finding the Fourth Proportional to 271,457.12, 406,972.76 and 171,407.11

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Solution

The fourth proportional to 271,457.12, 406,972.76 and 171,407.11 is: 256,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,457.12 : 406,972.76 = 171,407.11 : x
  2. Step 2: Convert to fraction form
    271,457.12/406,972.76 = 171,407.11/x
  3. Step 3: Cross multiply
    271,457.12x = 406,972.76 × 171,407.11
  4. Step 4: Simplify right side
    271,457.12x = 69,758,024,673.54
  5. Step 5: Solve for x
    x = 69,758,024,673.54/271,457.12
  6. Step 6: Final answer
    x = 256,976.22

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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.