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Finding the Fourth Proportional to 200,428.25, 300,667.07 and 65,489.13

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Solution

The fourth proportional to 200,428.25, 300,667.07 and 65,489.13 is: 98,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,428.25 : 300,667.07 = 65,489.13 : x
  2. Step 2: Convert to fraction form
    200,428.25/300,667.07 = 65,489.13/x
  3. Step 3: Cross multiply
    200,428.25x = 300,667.07 × 65,489.13
  4. Step 4: Simplify right side
    200,428.25x = 19,690,424,997.67
  5. Step 5: Solve for x
    x = 19,690,424,997.67/200,428.25
  6. Step 6: Final answer
    x = 98,241.77

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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.