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Finding the Fourth Proportional to 340,850.80, 511,276.20 and 321,497.20

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Solution

The fourth proportional to 340,850.80, 511,276.20 and 321,497.20 is: 482,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,850.80 : 511,276.20 = 321,497.20 : x
  2. Step 2: Convert to fraction form
    340,850.80/511,276.20 = 321,497.20/x
  3. Step 3: Cross multiply
    340,850.80x = 511,276.20 × 321,497.20
  4. Step 4: Simplify right side
    340,850.80x = 164,373,866,726.64
  5. Step 5: Solve for x
    x = 164,373,866,726.64/340,850.80
  6. Step 6: Final answer
    x = 482,245.80

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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.