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Finding the Fourth Proportional to 408,759.72, 613,264.42 and 209,221.48

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Solution

The fourth proportional to 408,759.72, 613,264.42 and 209,221.48 is: 313,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,759.72 : 613,264.42 = 209,221.48 : x
  2. Step 2: Convert to fraction form
    408,759.72/613,264.42 = 209,221.48/x
  3. Step 3: Cross multiply
    408,759.72x = 613,264.42 × 209,221.48
  4. Step 4: Simplify right side
    408,759.72x = 128,308,089,583.74
  5. Step 5: Solve for x
    x = 128,308,089,583.74/408,759.72
  6. Step 6: Final answer
    x = 313,896.12

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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.