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Finding the Fourth Proportional to 351,965.94, 485,710.07 and 199,034.16

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Solution

The fourth proportional to 351,965.94, 485,710.07 and 199,034.16 is: 274,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,965.94 : 485,710.07 = 199,034.16 : x
  2. Step 2: Convert to fraction form
    351,965.94/485,710.07 = 199,034.16/x
  3. Step 3: Cross multiply
    351,965.94x = 485,710.07 × 199,034.16
  4. Step 4: Simplify right side
    351,965.94x = 96,672,896,821.09
  5. Step 5: Solve for x
    x = 96,672,896,821.09/351,965.94
  6. Step 6: Final answer
    x = 274,665.49

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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.