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Finding the Fourth Proportional to 220,827, 304,747.74 and 120,231.48

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Solution

The fourth proportional to 220,827, 304,747.74 and 120,231.48 is: 165,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,827 : 304,747.74 = 120,231.48 : x
  2. Step 2: Convert to fraction form
    220,827/304,747.74 = 120,231.48/x
  3. Step 3: Cross multiply
    220,827x = 304,747.74 × 120,231.48
  4. Step 4: Simplify right side
    220,827x = 36,640,271,806.86
  5. Step 5: Solve for x
    x = 36,640,271,806.86/220,827
  6. Step 6: Final answer
    x = 165,922.97

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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.