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Finding the Fourth Proportional to 522,539, 783,849 and 162,664.64

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Solution

The fourth proportional to 522,539, 783,849 and 162,664.64 is: 244,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,539 : 783,849 = 162,664.64 : x
  2. Step 2: Convert to fraction form
    522,539/783,849 = 162,664.64/x
  3. Step 3: Cross multiply
    522,539x = 783,849 × 162,664.64
  4. Step 4: Simplify right side
    522,539x = 127,504,515,399.36
  5. Step 5: Solve for x
    x = 127,504,515,399.36/522,539
  6. Step 6: Final answer
    x = 244,009.57

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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.