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Finding the Fourth Proportional to 198,493.64, 297,717.22 and 56,351.40

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Solution

The fourth proportional to 198,493.64, 297,717.22 and 56,351.40 is: 84,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,493.64 : 297,717.22 = 56,351.40 : x
  2. Step 2: Convert to fraction form
    198,493.64/297,717.22 = 56,351.40/x
  3. Step 3: Cross multiply
    198,493.64x = 297,717.22 × 56,351.40
  4. Step 4: Simplify right side
    198,493.64x = 16,776,781,105.11
  5. Step 5: Solve for x
    x = 16,776,781,105.11/198,493.64
  6. Step 6: Final answer
    x = 84,520.50

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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.