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Finding the Fourth Proportional to 271,385.40, 407,078.10 and 259,867.20

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Solution

The fourth proportional to 271,385.40, 407,078.10 and 259,867.20 is: 389,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,385.40 : 407,078.10 = 259,867.20 : x
  2. Step 2: Convert to fraction form
    271,385.40/407,078.10 = 259,867.20/x
  3. Step 3: Cross multiply
    271,385.40x = 407,078.10 × 259,867.20
  4. Step 4: Simplify right side
    271,385.40x = 105,786,246,028.32
  5. Step 5: Solve for x
    x = 105,786,246,028.32/271,385.40
  6. Step 6: Final answer
    x = 389,800.80

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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.