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Finding the Fourth Proportional to 490,772.26, 735,860.97 and 320,121.46

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Solution

The fourth proportional to 490,772.26, 735,860.97 and 320,121.46 is: 479,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,772.26 : 735,860.97 = 320,121.46 : x
  2. Step 2: Convert to fraction form
    490,772.26/735,860.97 = 320,121.46/x
  3. Step 3: Cross multiply
    490,772.26x = 735,860.97 × 320,121.46
  4. Step 4: Simplify right side
    490,772.26x = 235,564,888,073.42
  5. Step 5: Solve for x
    x = 235,564,888,073.42/490,772.26
  6. Step 6: Final answer
    x = 479,988.19

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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.