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Finding the Fourth Proportional to 393,770.22, 543,368.49 and 219,327.30

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Solution

The fourth proportional to 393,770.22, 543,368.49 and 219,327.30 is: 302,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,770.22 : 543,368.49 = 219,327.30 : x
  2. Step 2: Convert to fraction form
    393,770.22/543,368.49 = 219,327.30/x
  3. Step 3: Cross multiply
    393,770.22x = 543,368.49 × 219,327.30
  4. Step 4: Simplify right side
    393,770.22x = 119,175,543,816.78
  5. Step 5: Solve for x
    x = 119,175,543,816.78/393,770.22
  6. Step 6: Final answer
    x = 302,652.51

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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.