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Finding the Fourth Proportional to 297,044.58, 409,920.70 and 161,078.11

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Solution

The fourth proportional to 297,044.58, 409,920.70 and 161,078.11 is: 222,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,044.58 : 409,920.70 = 161,078.11 : x
  2. Step 2: Convert to fraction form
    297,044.58/409,920.70 = 161,078.11/x
  3. Step 3: Cross multiply
    297,044.58x = 409,920.70 × 161,078.11
  4. Step 4: Simplify right side
    297,044.58x = 66,029,251,605.88
  5. Step 5: Solve for x
    x = 66,029,251,605.88/297,044.58
  6. Step 6: Final answer
    x = 222,287.35

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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.