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Finding the Fourth Proportional to 302,115.82, 416,940.21 and 199,965.28

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Solution

The fourth proportional to 302,115.82, 416,940.21 and 199,965.28 is: 275,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,115.82 : 416,940.21 = 199,965.28 : x
  2. Step 2: Convert to fraction form
    302,115.82/416,940.21 = 199,965.28/x
  3. Step 3: Cross multiply
    302,115.82x = 416,940.21 × 199,965.28
  4. Step 4: Simplify right side
    302,115.82x = 83,373,565,835.91
  5. Step 5: Solve for x
    x = 83,373,565,835.91/302,115.82
  6. Step 6: Final answer
    x = 275,965.57

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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.