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Finding the Fourth Proportional to 262,049.76, 393,403.68 and 218,213.28

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Solution

The fourth proportional to 262,049.76, 393,403.68 and 218,213.28 is: 327,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,049.76 : 393,403.68 = 218,213.28 : x
  2. Step 2: Convert to fraction form
    262,049.76/393,403.68 = 218,213.28/x
  3. Step 3: Cross multiply
    262,049.76x = 393,403.68 × 218,213.28
  4. Step 4: Simplify right side
    262,049.76x = 85,845,907,376.87
  5. Step 5: Solve for x
    x = 85,845,907,376.87/262,049.76
  6. Step 6: Final answer
    x = 327,593.92

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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.