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Finding the Fourth Proportional to 271,811.40, 407,717.10 and 260,293.20

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Solution

The fourth proportional to 271,811.40, 407,717.10 and 260,293.20 is: 390,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,811.40 : 407,717.10 = 260,293.20 : x
  2. Step 2: Convert to fraction form
    271,811.40/407,717.10 = 260,293.20/x
  3. Step 3: Cross multiply
    271,811.40x = 407,717.10 × 260,293.20
  4. Step 4: Simplify right side
    271,811.40x = 106,125,988,653.72
  5. Step 5: Solve for x
    x = 106,125,988,653.72/271,811.40
  6. Step 6: Final answer
    x = 390,439.80

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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.