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Finding the Fourth Proportional to 497,471.90, 686,508.62 and 271,115.42

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Solution

The fourth proportional to 497,471.90, 686,508.62 and 271,115.42 is: 374,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,471.90 : 686,508.62 = 271,115.42 : x
  2. Step 2: Convert to fraction form
    497,471.90/686,508.62 = 271,115.42/x
  3. Step 3: Cross multiply
    497,471.90x = 686,508.62 × 271,115.42
  4. Step 4: Simplify right side
    497,471.90x = 186,123,072,844.92
  5. Step 5: Solve for x
    x = 186,123,072,844.92/497,471.90
  6. Step 6: Final answer
    x = 374,137.86

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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.