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Finding the Fourth Proportional to 290,446.83, 400,827.68 and 161,394.88

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Solution

The fourth proportional to 290,446.83, 400,827.68 and 161,394.88 is: 222,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446.83 : 400,827.68 = 161,394.88 : x
  2. Step 2: Convert to fraction form
    290,446.83/400,827.68 = 161,394.88/x
  3. Step 3: Cross multiply
    290,446.83x = 400,827.68 × 161,394.88
  4. Step 4: Simplify right side
    290,446.83x = 64,691,535,314.28
  5. Step 5: Solve for x
    x = 64,691,535,314.28/290,446.83
  6. Step 6: Final answer
    x = 222,731.08

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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.