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Finding the Fourth Proportional to 351,970.83, 485,716.80 and 199,039.05

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Solution

The fourth proportional to 351,970.83, 485,716.80 and 199,039.05 is: 274,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,970.83 : 485,716.80 = 199,039.05 : x
  2. Step 2: Convert to fraction form
    351,970.83/485,716.80 = 199,039.05/x
  3. Step 3: Cross multiply
    351,970.83x = 485,716.80 × 199,039.05
  4. Step 4: Simplify right side
    351,970.83x = 96,676,610,441.04
  5. Step 5: Solve for x
    x = 96,676,610,441.04/351,970.83
  6. Step 6: Final answer
    x = 274,672.22

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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.