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Finding the Fourth Proportional to 271,699.30, 407,856.15 and 209,644.90

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Solution

The fourth proportional to 271,699.30, 407,856.15 and 209,644.90 is: 314,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,699.30 : 407,856.15 = 209,644.90 : x
  2. Step 2: Convert to fraction form
    271,699.30/407,856.15 = 209,644.90/x
  3. Step 3: Cross multiply
    271,699.30x = 407,856.15 × 209,644.90
  4. Step 4: Simplify right side
    271,699.30x = 85,504,961,781.14
  5. Step 5: Solve for x
    x = 85,504,961,781.14/271,699.30
  6. Step 6: Final answer
    x = 314,704.39

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1.5x scale

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.