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Finding the Fourth Proportional to 505,896.69, 698,208.64 and 322,076.55

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Solution

The fourth proportional to 505,896.69, 698,208.64 and 322,076.55 is: 444,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,896.69 : 698,208.64 = 322,076.55 : x
  2. Step 2: Convert to fraction form
    505,896.69/698,208.64 = 322,076.55/x
  3. Step 3: Cross multiply
    505,896.69x = 698,208.64 × 322,076.55
  4. Step 4: Simplify right side
    505,896.69x = 224,876,629,011.06
  5. Step 5: Solve for x
    x = 224,876,629,011.06/505,896.69
  6. Step 6: Final answer
    x = 444,510.97

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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.