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Finding the Fourth Proportional to 511,969.60, 768,586.20 and 322,429.60

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Solution

The fourth proportional to 511,969.60, 768,586.20 and 322,429.60 is: 484,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,969.60 : 768,586.20 = 322,429.60 : x
  2. Step 2: Convert to fraction form
    511,969.60/768,586.20 = 322,429.60/x
  3. Step 3: Cross multiply
    511,969.60x = 768,586.20 × 322,429.60
  4. Step 4: Simplify right side
    511,969.60x = 247,814,941,031.52
  5. Step 5: Solve for x
    x = 247,814,941,031.52/511,969.60
  6. Step 6: Final answer
    x = 484,042.30

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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.