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Finding the Fourth Proportional to 665,945, 998,918.46 and 271,961

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Solution

The fourth proportional to 665,945, 998,918.46 and 271,961 is: 407,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,945 : 998,918.46 = 271,961 : x
  2. Step 2: Convert to fraction form
    665,945/998,918.46 = 271,961/x
  3. Step 3: Cross multiply
    665,945x = 998,918.46 × 271,961
  4. Step 4: Simplify right side
    665,945x = 271,666,863,300.06
  5. Step 5: Solve for x
    x = 271,666,863,300.06/665,945
  6. Step 6: Final answer
    x = 407,941.89

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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.