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Finding the Fourth Proportional to 290,204.88, 400,463.20 and 161,136.72

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Solution

The fourth proportional to 290,204.88, 400,463.20 and 161,136.72 is: 222,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,204.88 : 400,463.20 = 161,136.72 : x
  2. Step 2: Convert to fraction form
    290,204.88/400,463.20 = 161,136.72/x
  3. Step 3: Cross multiply
    290,204.88x = 400,463.20 × 161,136.72
  4. Step 4: Simplify right side
    290,204.88x = 64,529,326,528.70
  5. Step 5: Solve for x
    x = 64,529,326,528.70/290,204.88
  6. Step 6: Final answer
    x = 222,357.83

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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.