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Finding the Fourth Proportional to 777,108.82, 1,165,728.84 and 216,143.32

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Solution

The fourth proportional to 777,108.82, 1,165,728.84 and 216,143.32 is: 324,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,108.82 : 1,165,728.84 = 216,143.32 : x
  2. Step 2: Convert to fraction form
    777,108.82/1,165,728.84 = 216,143.32/x
  3. Step 3: Cross multiply
    777,108.82x = 1,165,728.84 × 216,143.32
  4. Step 4: Simplify right side
    777,108.82x = 251,964,501,697.35
  5. Step 5: Solve for x
    x = 251,964,501,697.35/777,108.82
  6. Step 6: Final answer
    x = 324,233.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.