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Finding the Fourth Proportional to 290,092.58, 400,321.41 and 161,023.46

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Solution

The fourth proportional to 290,092.58, 400,321.41 and 161,023.46 is: 222,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,092.58 : 400,321.41 = 161,023.46 : x
  2. Step 2: Convert to fraction form
    290,092.58/400,321.41 = 161,023.46/x
  3. Step 3: Cross multiply
    290,092.58x = 400,321.41 × 161,023.46
  4. Step 4: Simplify right side
    290,092.58x = 64,461,138,550.28
  5. Step 5: Solve for x
    x = 64,461,138,550.28/290,092.58
  6. Step 6: Final answer
    x = 222,208.85

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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.