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Finding the Fourth Proportional to 721,824, 996,092.16 and 399,548.16

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Solution

The fourth proportional to 721,824, 996,092.16 and 399,548.16 is: 551,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,824 : 996,092.16 = 399,548.16 : x
  2. Step 2: Convert to fraction form
    721,824/996,092.16 = 399,548.16/x
  3. Step 3: Cross multiply
    721,824x = 996,092.16 × 399,548.16
  4. Step 4: Simplify right side
    721,824x = 397,986,789,718.43
  5. Step 5: Solve for x
    x = 397,986,789,718.43/721,824
  6. Step 6: Final answer
    x = 551,362.64

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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.