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Finding the Fourth Proportional to 497,682.48, 686,805.84 and 271,329.60

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Solution

The fourth proportional to 497,682.48, 686,805.84 and 271,329.60 is: 374,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,682.48 : 686,805.84 = 271,329.60 : x
  2. Step 2: Convert to fraction form
    497,682.48/686,805.84 = 271,329.60/x
  3. Step 3: Cross multiply
    497,682.48x = 686,805.84 × 271,329.60
  4. Step 4: Simplify right side
    497,682.48x = 186,350,753,844.86
  5. Step 5: Solve for x
    x = 186,350,753,844.86/497,682.48
  6. Step 6: Final answer
    x = 374,437.04

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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.