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Finding the Fourth Proportional to 198,832.86, 274,491 and 153,408.78

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Solution

The fourth proportional to 198,832.86, 274,491 and 153,408.78 is: 211,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,832.86 : 274,491 = 153,408.78 : x
  2. Step 2: Convert to fraction form
    198,832.86/274,491 = 153,408.78/x
  3. Step 3: Cross multiply
    198,832.86x = 274,491 × 153,408.78
  4. Step 4: Simplify right side
    198,832.86x = 42,109,329,430.98
  5. Step 5: Solve for x
    x = 42,109,329,430.98/198,832.86
  6. Step 6: Final answer
    x = 211,782.55

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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.