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Finding the Fourth Proportional to 398,098.89, 596,727.68 and 271,425.12

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Solution

The fourth proportional to 398,098.89, 596,727.68 and 271,425.12 is: 406,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,098.89 : 596,727.68 = 271,425.12 : x
  2. Step 2: Convert to fraction form
    398,098.89/596,727.68 = 271,425.12/x
  3. Step 3: Cross multiply
    398,098.89x = 596,727.68 × 271,425.12
  4. Step 4: Simplify right side
    398,098.89x = 161,966,878,556.47
  5. Step 5: Solve for x
    x = 161,966,878,556.47/398,098.89
  6. Step 6: Final answer
    x = 406,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.