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Finding the Fourth Proportional to 577,142.28, 796,455.72 and 322,493.40

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Solution

The fourth proportional to 577,142.28, 796,455.72 and 322,493.40 is: 445,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,142.28 : 796,455.72 = 322,493.40 : x
  2. Step 2: Convert to fraction form
    577,142.28/796,455.72 = 322,493.40/x
  3. Step 3: Cross multiply
    577,142.28x = 796,455.72 × 322,493.40
  4. Step 4: Simplify right side
    577,142.28x = 256,851,713,092.25
  5. Step 5: Solve for x
    x = 256,851,713,092.25/577,142.28
  6. Step 6: Final answer
    x = 445,040.54

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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.