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Finding the Fourth Proportional to 401,361.49, 602,134.37 and 135,114.90

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Solution

The fourth proportional to 401,361.49, 602,134.37 and 135,114.90 is: 202,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,361.49 : 602,134.37 = 135,114.90 : x
  2. Step 2: Convert to fraction form
    401,361.49/602,134.37 = 135,114.90/x
  3. Step 3: Cross multiply
    401,361.49x = 602,134.37 × 135,114.90
  4. Step 4: Simplify right side
    401,361.49x = 81,357,325,189.11
  5. Step 5: Solve for x
    x = 81,357,325,189.11/401,361.49
  6. Step 6: Final answer
    x = 202,703.37

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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.