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Finding the Fourth Proportional to 415,781.96, 623,667.46 and 100,236.33

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Solution

The fourth proportional to 415,781.96, 623,667.46 and 100,236.33 is: 150,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,781.96 : 623,667.46 = 100,236.33 : x
  2. Step 2: Convert to fraction form
    415,781.96/623,667.46 = 100,236.33/x
  3. Step 3: Cross multiply
    415,781.96x = 623,667.46 × 100,236.33
  4. Step 4: Simplify right side
    415,781.96x = 62,514,136,829.64
  5. Step 5: Solve for x
    x = 62,514,136,829.64/415,781.96
  6. Step 6: Final answer
    x = 150,353.17

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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.