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Finding the Fourth Proportional to 271,514.40, 407,271.60 and 165,226.20

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Solution

The fourth proportional to 271,514.40, 407,271.60 and 165,226.20 is: 247,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,514.40 : 407,271.60 = 165,226.20 : x
  2. Step 2: Convert to fraction form
    271,514.40/407,271.60 = 165,226.20/x
  3. Step 3: Cross multiply
    271,514.40x = 407,271.60 × 165,226.20
  4. Step 4: Simplify right side
    271,514.40x = 67,291,938,835.92
  5. Step 5: Solve for x
    x = 67,291,938,835.92/271,514.40
  6. Step 6: Final answer
    x = 247,839.30

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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.