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Finding the Fourth Proportional to 613,997, 921,047.34 and 170,765

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Solution

The fourth proportional to 613,997, 921,047.34 and 170,765 is: 256,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,997 : 921,047.34 = 170,765 : x
  2. Step 2: Convert to fraction form
    613,997/921,047.34 = 170,765/x
  3. Step 3: Cross multiply
    613,997x = 921,047.34 × 170,765
  4. Step 4: Simplify right side
    613,997x = 157,282,649,015.10
  5. Step 5: Solve for x
    x = 157,282,649,015.10/613,997
  6. Step 6: Final answer
    x = 256,161.92

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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.