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Finding the Fourth Proportional to 401,344.80, 601,803.36 and 135,016.80

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Solution

The fourth proportional to 401,344.80, 601,803.36 and 135,016.80 is: 202,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,344.80 : 601,803.36 = 135,016.80 : x
  2. Step 2: Convert to fraction form
    401,344.80/601,803.36 = 135,016.80/x
  3. Step 3: Cross multiply
    401,344.80x = 601,803.36 × 135,016.80
  4. Step 4: Simplify right side
    401,344.80x = 81,253,563,896.45
  5. Step 5: Solve for x
    x = 81,253,563,896.45/401,344.80
  6. Step 6: Final answer
    x = 202,453.26

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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.