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Finding the Fourth Proportional to 393,840, 543,499.20 and 214,992

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Solution

The fourth proportional to 393,840, 543,499.20 and 214,992 is: 296,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,840 : 543,499.20 = 214,992 : x
  2. Step 2: Convert to fraction form
    393,840/543,499.20 = 214,992/x
  3. Step 3: Cross multiply
    393,840x = 543,499.20 × 214,992
  4. Step 4: Simplify right side
    393,840x = 116,847,980,006.40
  5. Step 5: Solve for x
    x = 116,847,980,006.40/393,840
  6. Step 6: Final answer
    x = 296,688.96

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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.