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Finding the Fourth Proportional to 497,735.35, 686,875.47 and 271,380.85

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Solution

The fourth proportional to 497,735.35, 686,875.47 and 271,380.85 is: 374,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,735.35 : 686,875.47 = 271,380.85 : x
  2. Step 2: Convert to fraction form
    497,735.35/686,875.47 = 271,380.85/x
  3. Step 3: Cross multiply
    497,735.35x = 686,875.47 × 271,380.85
  4. Step 4: Simplify right side
    497,735.35x = 186,404,848,892.75
  5. Step 5: Solve for x
    x = 186,404,848,892.75/497,735.35
  6. Step 6: Final answer
    x = 374,505.95

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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.