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Finding the Fourth Proportional to 271,812.30, 407,718.45 and 252,129.30

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Solution

The fourth proportional to 271,812.30, 407,718.45 and 252,129.30 is: 378,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.30 : 407,718.45 = 252,129.30 : x
  2. Step 2: Convert to fraction form
    271,812.30/407,718.45 = 252,129.30/x
  3. Step 3: Cross multiply
    271,812.30x = 407,718.45 × 252,129.30
  4. Step 4: Simplify right side
    271,812.30x = 102,797,767,395.59
  5. Step 5: Solve for x
    x = 102,797,767,395.59/271,812.30
  6. Step 6: Final answer
    x = 378,193.95

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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.