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Finding the Fourth Proportional to 490,049.28, 675,648 and 320,014.08

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Solution

The fourth proportional to 490,049.28, 675,648 and 320,014.08 is: 441,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,049.28 : 675,648 = 320,014.08 : x
  2. Step 2: Convert to fraction form
    490,049.28/675,648 = 320,014.08/x
  3. Step 3: Cross multiply
    490,049.28x = 675,648 × 320,014.08
  4. Step 4: Simplify right side
    490,049.28x = 216,216,873,123.84
  5. Step 5: Solve for x
    x = 216,216,873,123.84/490,049.28
  6. Step 6: Final answer
    x = 441,214.55

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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.