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Finding the Fourth Proportional to 361,198.86, 498,789.48 and 270,397.19

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Solution

The fourth proportional to 361,198.86, 498,789.48 and 270,397.19 is: 373,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,198.86 : 498,789.48 = 270,397.19 : x
  2. Step 2: Convert to fraction form
    361,198.86/498,789.48 = 270,397.19/x
  3. Step 3: Cross multiply
    361,198.86x = 498,789.48 × 270,397.19
  4. Step 4: Simplify right side
    361,198.86x = 134,871,271,299.61
  5. Step 5: Solve for x
    x = 134,871,271,299.61/361,198.86
  6. Step 6: Final answer
    x = 373,398.94

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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.