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Finding the Fourth Proportional to 401,286.47, 601,991.98 and 135,026.23

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Solution

The fourth proportional to 401,286.47, 601,991.98 and 135,026.23 is: 202,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,286.47 : 601,991.98 = 135,026.23 : x
  2. Step 2: Convert to fraction form
    401,286.47/601,991.98 = 135,026.23/x
  3. Step 3: Cross multiply
    401,286.47x = 601,991.98 × 135,026.23
  4. Step 4: Simplify right side
    401,286.47x = 81,284,707,549.64
  5. Step 5: Solve for x
    x = 81,284,707,549.64/401,286.47
  6. Step 6: Final answer
    x = 202,560.30

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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.