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Finding the Fourth Proportional to 231,738.20, 347,412.90 and 120,930.20

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Solution

The fourth proportional to 231,738.20, 347,412.90 and 120,930.20 is: 181,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738.20 : 347,412.90 = 120,930.20 : x
  2. Step 2: Convert to fraction form
    231,738.20/347,412.90 = 120,930.20/x
  3. Step 3: Cross multiply
    231,738.20x = 347,412.90 × 120,930.20
  4. Step 4: Simplify right side
    231,738.20x = 42,012,711,479.58
  5. Step 5: Solve for x
    x = 42,012,711,479.58/231,738.20
  6. Step 6: Final answer
    x = 181,293.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.