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Finding the Fourth Proportional to 401,447.88, 602,172.81 and 135,395.28

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Solution

The fourth proportional to 401,447.88, 602,172.81 and 135,395.28 is: 203,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,447.88 : 602,172.81 = 135,395.28 : x
  2. Step 2: Convert to fraction form
    401,447.88/602,172.81 = 135,395.28/x
  3. Step 3: Cross multiply
    401,447.88x = 602,172.81 × 135,395.28
  4. Step 4: Simplify right side
    401,447.88x = 81,531,356,218.34
  5. Step 5: Solve for x
    x = 81,531,356,218.34/401,447.88
  6. Step 6: Final answer
    x = 203,093.25

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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.