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Finding the Fourth Proportional to 511,995.60, 768,625.20 and 322,455.60

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Solution

The fourth proportional to 511,995.60, 768,625.20 and 322,455.60 is: 484,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,995.60 : 768,625.20 = 322,455.60 : x
  2. Step 2: Convert to fraction form
    511,995.60/768,625.20 = 322,455.60/x
  3. Step 3: Cross multiply
    511,995.60x = 768,625.20 × 322,455.60
  4. Step 4: Simplify right side
    511,995.60x = 247,847,500,041.12
  5. Step 5: Solve for x
    x = 247,847,500,041.12/511,995.60
  6. Step 6: Final answer
    x = 484,081.31

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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.