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Finding the Fourth Proportional to 577,406.88, 796,807.44 and 322,788

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Solution

The fourth proportional to 577,406.88, 796,807.44 and 322,788 is: 445,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,406.88 : 796,807.44 = 322,788 : x
  2. Step 2: Convert to fraction form
    577,406.88/796,807.44 = 322,788/x
  3. Step 3: Cross multiply
    577,406.88x = 796,807.44 × 322,788
  4. Step 4: Simplify right side
    577,406.88x = 257,199,879,942.72
  5. Step 5: Solve for x
    x = 257,199,879,942.72/577,406.88
  6. Step 6: Final answer
    x = 445,439.58

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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.