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Finding the Fourth Proportional to 271,806.40, 407,709.60 and 260,288.20

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Solution

The fourth proportional to 271,806.40, 407,709.60 and 260,288.20 is: 390,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.40 : 407,709.60 = 260,288.20 : x
  2. Step 2: Convert to fraction form
    271,806.40/407,709.60 = 260,288.20/x
  3. Step 3: Cross multiply
    271,806.40x = 407,709.60 × 260,288.20
  4. Step 4: Simplify right side
    271,806.40x = 106,121,997,906.72
  5. Step 5: Solve for x
    x = 106,121,997,906.72/271,806.40
  6. Step 6: Final answer
    x = 390,432.30

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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.