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Finding the Fourth Proportional to 418,964.24, 628,544.76 and 138,481.46

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Solution

The fourth proportional to 418,964.24, 628,544.76 and 138,481.46 is: 207,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,964.24 : 628,544.76 = 138,481.46 : x
  2. Step 2: Convert to fraction form
    418,964.24/628,544.76 = 138,481.46/x
  3. Step 3: Cross multiply
    418,964.24x = 628,544.76 × 138,481.46
  4. Step 4: Simplify right side
    418,964.24x = 87,041,796,040.15
  5. Step 5: Solve for x
    x = 87,041,796,040.15/418,964.24
  6. Step 6: Final answer
    x = 207,754.71

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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.