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Finding the Fourth Proportional to 290,274.75, 400,565.85 and 161,221.47

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Solution

The fourth proportional to 290,274.75, 400,565.85 and 161,221.47 is: 222,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,274.75 : 400,565.85 = 161,221.47 : x
  2. Step 2: Convert to fraction form
    290,274.75/400,565.85 = 161,221.47/x
  3. Step 3: Cross multiply
    290,274.75x = 400,565.85 × 161,221.47
  4. Step 4: Simplify right side
    290,274.75x = 64,579,815,168.80
  5. Step 5: Solve for x
    x = 64,579,815,168.80/290,274.75
  6. Step 6: Final answer
    x = 222,478.24

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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.