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Finding the Fourth Proportional to 297,390.71, 445,896.51 and 196,071.86

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Solution

The fourth proportional to 297,390.71, 445,896.51 and 196,071.86 is: 293,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390.71 : 445,896.51 = 196,071.86 : x
  2. Step 2: Convert to fraction form
    297,390.71/445,896.51 = 196,071.86/x
  3. Step 3: Cross multiply
    297,390.71x = 445,896.51 × 196,071.86
  4. Step 4: Simplify right side
    297,390.71x = 87,427,755,853.73
  5. Step 5: Solve for x
    x = 87,427,755,853.73/297,390.71
  6. Step 6: Final answer
    x = 293,982.81

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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.