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Finding the Fourth Proportional to 298,132.38, 411,385.28 and 201,546.39

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Solution

The fourth proportional to 298,132.38, 411,385.28 and 201,546.39 is: 278,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,132.38 : 411,385.28 = 201,546.39 : x
  2. Step 2: Convert to fraction form
    298,132.38/411,385.28 = 201,546.39/x
  3. Step 3: Cross multiply
    298,132.38x = 411,385.28 × 201,546.39
  4. Step 4: Simplify right side
    298,132.38x = 82,913,215,018.48
  5. Step 5: Solve for x
    x = 82,913,215,018.48/298,132.38
  6. Step 6: Final answer
    x = 278,108.73

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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.