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Finding the Fourth Proportional to 701,420.16, 967,957.92 and 399,616.32

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Solution

The fourth proportional to 701,420.16, 967,957.92 and 399,616.32 is: 551,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,420.16 : 967,957.92 = 399,616.32 : x
  2. Step 2: Convert to fraction form
    701,420.16/967,957.92 = 399,616.32/x
  3. Step 3: Cross multiply
    701,420.16x = 967,957.92 × 399,616.32
  4. Step 4: Simplify right side
    701,420.16x = 386,811,781,905.25
  5. Step 5: Solve for x
    x = 386,811,781,905.25/701,420.16
  6. Step 6: Final answer
    x = 551,469.44

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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.