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Finding the Fourth Proportional to 393,978.47, 543,692.48 and 224,212.59

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Solution

The fourth proportional to 393,978.47, 543,692.48 and 224,212.59 is: 309,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,978.47 : 543,692.48 = 224,212.59 : x
  2. Step 2: Convert to fraction form
    393,978.47/543,692.48 = 224,212.59/x
  3. Step 3: Cross multiply
    393,978.47x = 543,692.48 × 224,212.59
  4. Step 4: Simplify right side
    393,978.47x = 121,902,697,983.26
  5. Step 5: Solve for x
    x = 121,902,697,983.26/393,978.47
  6. Step 6: Final answer
    x = 309,414.62

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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.