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Finding the Fourth Proportional to 271,652.40, 407,150.55 and 138,464.10

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Solution

The fourth proportional to 271,652.40, 407,150.55 and 138,464.10 is: 207,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,652.40 : 407,150.55 = 138,464.10 : x
  2. Step 2: Convert to fraction form
    271,652.40/407,150.55 = 138,464.10/x
  3. Step 3: Cross multiply
    271,652.40x = 407,150.55 × 138,464.10
  4. Step 4: Simplify right side
    271,652.40x = 56,375,734,470.26
  5. Step 5: Solve for x
    x = 56,375,734,470.26/271,652.40
  6. Step 6: Final answer
    x = 207,528.94

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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.