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Finding the Fourth Proportional to 701,328, 967,832.64 and 399,522

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Solution

The fourth proportional to 701,328, 967,832.64 and 399,522 is: 551,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,328 : 967,832.64 = 399,522 : x
  2. Step 2: Convert to fraction form
    701,328/967,832.64 = 399,522/x
  3. Step 3: Cross multiply
    701,328x = 967,832.64 × 399,522
  4. Step 4: Simplify right side
    701,328x = 386,670,431,998.08
  5. Step 5: Solve for x
    x = 386,670,431,998.08/701,328
  6. Step 6: Final answer
    x = 551,340.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.