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Finding the Fourth Proportional to 401,331.49, 601,990.34 and 135,091.98

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Solution

The fourth proportional to 401,331.49, 601,990.34 and 135,091.98 is: 202,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,331.49 : 601,990.34 = 135,091.98 : x
  2. Step 2: Convert to fraction form
    401,331.49/601,990.34 = 135,091.98/x
  3. Step 3: Cross multiply
    401,331.49x = 601,990.34 × 135,091.98
  4. Step 4: Simplify right side
    401,331.49x = 81,324,066,971.47
  5. Step 5: Solve for x
    x = 81,324,066,971.47/401,331.49
  6. Step 6: Final answer
    x = 202,635.65

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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.