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Finding the Fourth Proportional to 497,404.50, 686,418.30 and 271,050

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Solution

The fourth proportional to 497,404.50, 686,418.30 and 271,050 is: 374,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,404.50 : 686,418.30 = 271,050 : x
  2. Step 2: Convert to fraction form
    497,404.50/686,418.30 = 271,050/x
  3. Step 3: Cross multiply
    497,404.50x = 686,418.30 × 271,050
  4. Step 4: Simplify right side
    497,404.50x = 186,053,680,215
  5. Step 5: Solve for x
    x = 186,053,680,215/497,404.50
  6. Step 6: Final answer
    x = 374,049.05

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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.