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Finding the Fourth Proportional to 214,997.76, 322,496.64 and 177,984

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Solution

The fourth proportional to 214,997.76, 322,496.64 and 177,984 is: 266,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,997.76 : 322,496.64 = 177,984 : x
  2. Step 2: Convert to fraction form
    214,997.76/322,496.64 = 177,984/x
  3. Step 3: Cross multiply
    214,997.76x = 322,496.64 × 177,984
  4. Step 4: Simplify right side
    214,997.76x = 57,399,241,973.76
  5. Step 5: Solve for x
    x = 57,399,241,973.76/214,997.76
  6. Step 6: Final answer
    x = 266,976

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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.