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Finding the Fourth Proportional to 290,103.30, 400,322.52 and 161,031.69

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Solution

The fourth proportional to 290,103.30, 400,322.52 and 161,031.69 is: 222,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,103.30 : 400,322.52 = 161,031.69 : x
  2. Step 2: Convert to fraction form
    290,103.30/400,322.52 = 161,031.69/x
  3. Step 3: Cross multiply
    290,103.30x = 400,322.52 × 161,031.69
  4. Step 4: Simplify right side
    290,103.30x = 64,464,611,940.66
  5. Step 5: Solve for x
    x = 64,464,611,940.66/290,103.30
  6. Step 6: Final answer
    x = 222,212.61

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1.5x scale

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.