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Finding the Fourth Proportional to 271,539, 407,309.22 and 84,550.68

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Solution

The fourth proportional to 271,539, 407,309.22 and 84,550.68 is: 126,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,539 : 407,309.22 = 84,550.68 : x
  2. Step 2: Convert to fraction form
    271,539/407,309.22 = 84,550.68/x
  3. Step 3: Cross multiply
    271,539x = 407,309.22 × 84,550.68
  4. Step 4: Simplify right side
    271,539x = 34,438,271,521.27
  5. Step 5: Solve for x
    x = 34,438,271,521.27/271,539
  6. Step 6: Final answer
    x = 126,826.24

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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.