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Finding the Fourth Proportional to 220,380, 304,124.40 and 119,778

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Solution

The fourth proportional to 220,380, 304,124.40 and 119,778 is: 165,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,380 : 304,124.40 = 119,778 : x
  2. Step 2: Convert to fraction form
    220,380/304,124.40 = 119,778/x
  3. Step 3: Cross multiply
    220,380x = 304,124.40 × 119,778
  4. Step 4: Simplify right side
    220,380x = 36,427,412,383.20
  5. Step 5: Solve for x
    x = 36,427,412,383.20/220,380
  6. Step 6: Final answer
    x = 165,293.64

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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.