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Finding the Fourth Proportional to 497,597.82, 686,685 and 271,243.32

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Solution

The fourth proportional to 497,597.82, 686,685 and 271,243.32 is: 374,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,597.82 : 686,685 = 271,243.32 : x
  2. Step 2: Convert to fraction form
    497,597.82/686,685 = 271,243.32/x
  3. Step 3: Cross multiply
    497,597.82x = 686,685 × 271,243.32
  4. Step 4: Simplify right side
    497,597.82x = 186,258,719,194.20
  5. Step 5: Solve for x
    x = 186,258,719,194.20/497,597.82
  6. Step 6: Final answer
    x = 374,315.79

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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.