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Finding the Fourth Proportional to 392,019.86, 587,513.08 and 155,233.36

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Solution

The fourth proportional to 392,019.86, 587,513.08 and 155,233.36 is: 232,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,019.86 : 587,513.08 = 155,233.36 : x
  2. Step 2: Convert to fraction form
    392,019.86/587,513.08 = 155,233.36/x
  3. Step 3: Cross multiply
    392,019.86x = 587,513.08 × 155,233.36
  4. Step 4: Simplify right side
    392,019.86x = 91,201,629,452.35
  5. Step 5: Solve for x
    x = 91,201,629,452.35/392,019.86
  6. Step 6: Final answer
    x = 232,645.43

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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.