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Finding the Fourth Proportional to 485,515,468.80, 728,273,203.20 and 278,040,902.40

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Solution

The fourth proportional to 485,515,468.80, 728,273,203.20 and 278,040,902.40 is: 417,061,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,515,468.80 : 728,273,203.20 = 278,040,902.40 : x
  2. Step 2: Convert to fraction form
    485,515,468.80/728,273,203.20 = 278,040,902.40/x
  3. Step 3: Cross multiply
    485,515,468.80x = 728,273,203.20 × 278,040,902.40
  4. Step 4: Simplify right side
    485,515,468.80x = 202,489,738,611,466,560
  5. Step 5: Solve for x
    x = 202,489,738,611,466,560/485,515,468.80
  6. Step 6: Final answer
    x = 417,061,353.60

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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.