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Finding the Fourth Proportional to 198,395.82, 297,608.94 and 56,238.72

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Solution

The fourth proportional to 198,395.82, 297,608.94 and 56,238.72 is: 84,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,395.82 : 297,608.94 = 56,238.72 : x
  2. Step 2: Convert to fraction form
    198,395.82/297,608.94 = 56,238.72/x
  3. Step 3: Cross multiply
    198,395.82x = 297,608.94 × 56,238.72
  4. Step 4: Simplify right side
    198,395.82x = 16,737,145,846.16
  5. Step 5: Solve for x
    x = 16,737,145,846.16/198,395.82
  6. Step 6: Final answer
    x = 84,362.39

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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.