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Finding the Fourth Proportional to 290,416.38, 400,771.65 and 159,596.17

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Solution

The fourth proportional to 290,416.38, 400,771.65 and 159,596.17 is: 220,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,416.38 : 400,771.65 = 159,596.17 : x
  2. Step 2: Convert to fraction form
    290,416.38/400,771.65 = 159,596.17/x
  3. Step 3: Cross multiply
    290,416.38x = 400,771.65 × 159,596.17
  4. Step 4: Simplify right side
    290,416.38x = 63,961,620,384.58
  5. Step 5: Solve for x
    x = 63,961,620,384.58/290,416.38
  6. Step 6: Final answer
    x = 220,241.09

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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.