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Finding the Fourth Proportional to 401,342.82, 602,076.54 and 135,082.56

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Solution

The fourth proportional to 401,342.82, 602,076.54 and 135,082.56 is: 202,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,342.82 : 602,076.54 = 135,082.56 : x
  2. Step 2: Convert to fraction form
    401,342.82/602,076.54 = 135,082.56/x
  3. Step 3: Cross multiply
    401,342.82x = 602,076.54 × 135,082.56
  4. Step 4: Simplify right side
    401,342.82x = 81,330,040,339.14
  5. Step 5: Solve for x
    x = 81,330,040,339.14/401,342.82
  6. Step 6: Final answer
    x = 202,644.81

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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.