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Finding the Fourth Proportional to 577,400.88, 796,799.16 and 322,782

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Solution

The fourth proportional to 577,400.88, 796,799.16 and 322,782 is: 445,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,400.88 : 796,799.16 = 322,782 : x
  2. Step 2: Convert to fraction form
    577,400.88/796,799.16 = 322,782/x
  3. Step 3: Cross multiply
    577,400.88x = 796,799.16 × 322,782
  4. Step 4: Simplify right side
    577,400.88x = 257,192,426,463.12
  5. Step 5: Solve for x
    x = 257,192,426,463.12/577,400.88
  6. Step 6: Final answer
    x = 445,431.30

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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.