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Finding the Fourth Proportional to 577,109.57, 796,406.87 and 319,003.48

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Solution

The fourth proportional to 577,109.57, 796,406.87 and 319,003.48 is: 440,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,109.57 : 796,406.87 = 319,003.48 : x
  2. Step 2: Convert to fraction form
    577,109.57/796,406.87 = 319,003.48/x
  3. Step 3: Cross multiply
    577,109.57x = 796,406.87 × 319,003.48
  4. Step 4: Simplify right side
    577,109.57x = 254,056,563,025.91
  5. Step 5: Solve for x
    x = 254,056,563,025.91/577,109.57
  6. Step 6: Final answer
    x = 440,222.41

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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.