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Finding the Fourth Proportional to 351,978.71, 485,740.17 and 199,039.78

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Solution

The fourth proportional to 351,978.71, 485,740.17 and 199,039.78 is: 274,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,978.71 : 485,740.17 = 199,039.78 : x
  2. Step 2: Convert to fraction form
    351,978.71/485,740.17 = 199,039.78/x
  3. Step 3: Cross multiply
    351,978.71x = 485,740.17 × 199,039.78
  4. Step 4: Simplify right side
    351,978.71x = 96,681,617,181.14
  5. Step 5: Solve for x
    x = 96,681,617,181.14/351,978.71
  6. Step 6: Final answer
    x = 274,680.30

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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.