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Finding the Fourth Proportional to 220,424.70, 304,189.12 and 119,824.86

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Solution

The fourth proportional to 220,424.70, 304,189.12 and 119,824.86 is: 165,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,424.70 : 304,189.12 = 119,824.86 : x
  2. Step 2: Convert to fraction form
    220,424.70/304,189.12 = 119,824.86/x
  3. Step 3: Cross multiply
    220,424.70x = 304,189.12 × 119,824.86
  4. Step 4: Simplify right side
    220,424.70x = 36,449,418,717.52
  5. Step 5: Solve for x
    x = 36,449,418,717.52/220,424.70
  6. Step 6: Final answer
    x = 165,359.96

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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.