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Finding the Fourth Proportional to 3,219,862.78, 4,829,959.60 and 823,728.20

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Solution

The fourth proportional to 3,219,862.78, 4,829,959.60 and 823,728.20 is: 1,235,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,862.78 : 4,829,959.60 = 823,728.20 : x
  2. Step 2: Convert to fraction form
    3,219,862.78/4,829,959.60 = 823,728.20/x
  3. Step 3: Cross multiply
    3,219,862.78x = 4,829,959.60 × 823,728.20
  4. Step 4: Simplify right side
    3,219,862.78x = 3,978,573,927,380.72
  5. Step 5: Solve for x
    x = 3,978,573,927,380.72/3,219,862.78
  6. Step 6: Final answer
    x = 1,235,634.62

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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.