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Finding the Fourth Proportional to 290,071.82, 400,292.85 and 161,002.73

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Solution

The fourth proportional to 290,071.82, 400,292.85 and 161,002.73 is: 222,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,071.82 : 400,292.85 = 161,002.73 : x
  2. Step 2: Convert to fraction form
    290,071.82/400,292.85 = 161,002.73/x
  3. Step 3: Cross multiply
    290,071.82x = 400,292.85 × 161,002.73
  4. Step 4: Simplify right side
    290,071.82x = 64,448,241,649.48
  5. Step 5: Solve for x
    x = 64,448,241,649.48/290,071.82
  6. Step 6: Final answer
    x = 222,180.29

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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.