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Finding the Fourth Proportional to 497,356, 686,351.36 and 271,001.44

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Solution

The fourth proportional to 497,356, 686,351.36 and 271,001.44 is: 373,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,356 : 686,351.36 = 271,001.44 : x
  2. Step 2: Convert to fraction form
    497,356/686,351.36 = 271,001.44/x
  3. Step 3: Cross multiply
    497,356x = 686,351.36 × 271,001.44
  4. Step 4: Simplify right side
    497,356x = 186,002,206,905.96
  5. Step 5: Solve for x
    x = 186,002,206,905.96/497,356
  6. Step 6: Final answer
    x = 373,982.03

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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.