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Finding the Fourth Proportional to 475,215, 655,635.24 and 271,119.30

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Solution

The fourth proportional to 475,215, 655,635.24 and 271,119.30 is: 374,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,215 : 655,635.24 = 271,119.30 : x
  2. Step 2: Convert to fraction form
    475,215/655,635.24 = 271,119.30/x
  3. Step 3: Cross multiply
    475,215x = 655,635.24 × 271,119.30
  4. Step 4: Simplify right side
    475,215x = 177,755,367,324.13
  5. Step 5: Solve for x
    x = 177,755,367,324.13/475,215
  6. Step 6: Final answer
    x = 374,052.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.