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Finding the Fourth Proportional to 298,101.66, 411,310.06 and 201,485.67

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Solution

The fourth proportional to 298,101.66, 411,310.06 and 201,485.67 is: 278,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,101.66 : 411,310.06 = 201,485.67 : x
  2. Step 2: Convert to fraction form
    298,101.66/411,310.06 = 201,485.67/x
  3. Step 3: Cross multiply
    298,101.66x = 411,310.06 × 201,485.67
  4. Step 4: Simplify right side
    298,101.66x = 82,873,083,016.84
  5. Step 5: Solve for x
    x = 82,873,083,016.84/298,101.66
  6. Step 6: Final answer
    x = 278,002.76

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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.