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Finding the Fourth Proportional to 419,543.48, 629,330.81 and 135,238.14

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Solution

The fourth proportional to 419,543.48, 629,330.81 and 135,238.14 is: 202,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,543.48 : 629,330.81 = 135,238.14 : x
  2. Step 2: Convert to fraction form
    419,543.48/629,330.81 = 135,238.14/x
  3. Step 3: Cross multiply
    419,543.48x = 629,330.81 × 135,238.14
  4. Step 4: Simplify right side
    419,543.48x = 85,109,525,808.81
  5. Step 5: Solve for x
    x = 85,109,525,808.81/419,543.48
  6. Step 6: Final answer
    x = 202,862.23

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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.