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Finding the Fourth Proportional to 701,064, 967,468.32 and 399,286.08

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Solution

The fourth proportional to 701,064, 967,468.32 and 399,286.08 is: 551,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,064 : 967,468.32 = 399,286.08 : x
  2. Step 2: Convert to fraction form
    701,064/967,468.32 = 399,286.08/x
  3. Step 3: Cross multiply
    701,064x = 967,468.32 × 399,286.08
  4. Step 4: Simplify right side
    701,064x = 386,296,633,016.99
  5. Step 5: Solve for x
    x = 386,296,633,016.99/701,064
  6. Step 6: Final answer
    x = 551,014.79

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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.