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Finding the Fourth Proportional to 497,508, 686,560.44 and 271,153.50

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Solution

The fourth proportional to 497,508, 686,560.44 and 271,153.50 is: 374,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,508 : 686,560.44 = 271,153.50 : x
  2. Step 2: Convert to fraction form
    497,508/686,560.44 = 271,153.50/x
  3. Step 3: Cross multiply
    497,508x = 686,560.44 × 271,153.50
  4. Step 4: Simplify right side
    497,508x = 186,163,266,267.54
  5. Step 5: Solve for x
    x = 186,163,266,267.54/497,508
  6. Step 6: Final answer
    x = 374,191.50

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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.