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Finding the Fourth Proportional to 497,589.68, 686,673.78 and 271,235.18

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Solution

The fourth proportional to 497,589.68, 686,673.78 and 271,235.18 is: 374,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,589.68 : 686,673.78 = 271,235.18 : x
  2. Step 2: Convert to fraction form
    497,589.68/686,673.78 = 271,235.18/x
  3. Step 3: Cross multiply
    497,589.68x = 686,673.78 × 271,235.18
  4. Step 4: Simplify right side
    497,589.68x = 186,250,086,319.58
  5. Step 5: Solve for x
    x = 186,250,086,319.58/497,589.68
  6. Step 6: Final answer
    x = 374,304.56

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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.