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Finding the Fourth Proportional to 290,532.69, 400,934.81 and 161,467.09

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Solution

The fourth proportional to 290,532.69, 400,934.81 and 161,467.09 is: 222,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,532.69 : 400,934.81 = 161,467.09 : x
  2. Step 2: Convert to fraction form
    290,532.69/400,934.81 = 161,467.09/x
  3. Step 3: Cross multiply
    290,532.69x = 400,934.81 × 161,467.09
  4. Step 4: Simplify right side
    290,532.69x = 64,737,776,451.73
  5. Step 5: Solve for x
    x = 64,737,776,451.73/290,532.69
  6. Step 6: Final answer
    x = 222,824.41

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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.