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Finding the Fourth Proportional to 220,431, 304,194.90 and 119,829

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Solution

The fourth proportional to 220,431, 304,194.90 and 119,829 is: 165,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,431 : 304,194.90 = 119,829 : x
  2. Step 2: Convert to fraction form
    220,431/304,194.90 = 119,829/x
  3. Step 3: Cross multiply
    220,431x = 304,194.90 × 119,829
  4. Step 4: Simplify right side
    220,431x = 36,451,370,672.10
  5. Step 5: Solve for x
    x = 36,451,370,672.10/220,431
  6. Step 6: Final answer
    x = 165,364.09

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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.