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Finding the Fourth Proportional to 497,662.97, 686,775.24 and 271,308.47

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Solution

The fourth proportional to 497,662.97, 686,775.24 and 271,308.47 is: 374,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,662.97 : 686,775.24 = 271,308.47 : x
  2. Step 2: Convert to fraction form
    497,662.97/686,775.24 = 271,308.47/x
  3. Step 3: Cross multiply
    497,662.97x = 686,775.24 × 271,308.47
  4. Step 4: Simplify right side
    497,662.97x = 186,327,936,164.41
  5. Step 5: Solve for x
    x = 186,327,936,164.41/497,662.97
  6. Step 6: Final answer
    x = 374,405.87

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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.