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Finding the Fourth Proportional to 401,431.92, 602,147.90 and 135,170.16

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Solution

The fourth proportional to 401,431.92, 602,147.90 and 135,170.16 is: 202,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,431.92 : 602,147.90 = 135,170.16 : x
  2. Step 2: Convert to fraction form
    401,431.92/602,147.90 = 135,170.16/x
  3. Step 3: Cross multiply
    401,431.92x = 602,147.90 × 135,170.16
  4. Step 4: Simplify right side
    401,431.92x = 81,392,427,986.66
  5. Step 5: Solve for x
    x = 81,392,427,986.66/401,431.92
  6. Step 6: Final answer
    x = 202,755.25

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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.