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Finding the Fourth Proportional to 505,782.76, 698,077.92 and 324,723.46

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Solution

The fourth proportional to 505,782.76, 698,077.92 and 324,723.46 is: 448,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,782.76 : 698,077.92 = 324,723.46 : x
  2. Step 2: Convert to fraction form
    505,782.76/698,077.92 = 324,723.46/x
  3. Step 3: Cross multiply
    505,782.76x = 698,077.92 × 324,723.46
  4. Step 4: Simplify right side
    505,782.76x = 226,682,277,004.52
  5. Step 5: Solve for x
    x = 226,682,277,004.52/505,782.76
  6. Step 6: Final answer
    x = 448,181.11

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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.