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Finding the Fourth Proportional to 649,893.78, 975,319.56 and 308,338.47

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Solution

The fourth proportional to 649,893.78, 975,319.56 and 308,338.47 is: 462,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,893.78 : 975,319.56 = 308,338.47 : x
  2. Step 2: Convert to fraction form
    649,893.78/975,319.56 = 308,338.47/x
  3. Step 3: Cross multiply
    649,893.78x = 975,319.56 × 308,338.47
  4. Step 4: Simplify right side
    649,893.78x = 300,728,540,891.47
  5. Step 5: Solve for x
    x = 300,728,540,891.47/649,893.78
  6. Step 6: Final answer
    x = 462,734.91

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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.