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Finding the Fourth Proportional to 393,673.76, 543,082.69 and 232,420.78

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Solution

The fourth proportional to 393,673.76, 543,082.69 and 232,420.78 is: 320,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,673.76 : 543,082.69 = 232,420.78 : x
  2. Step 2: Convert to fraction form
    393,673.76/543,082.69 = 232,420.78/x
  3. Step 3: Cross multiply
    393,673.76x = 543,082.69 × 232,420.78
  4. Step 4: Simplify right side
    393,673.76x = 126,223,702,414.30
  5. Step 5: Solve for x
    x = 126,223,702,414.30/393,673.76
  6. Step 6: Final answer
    x = 320,630.22

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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.