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Finding the Fourth Proportional to 381,509, 572,365.56 and 132,191

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Solution

The fourth proportional to 381,509, 572,365.56 and 132,191 is: 198,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,509 : 572,365.56 = 132,191 : x
  2. Step 2: Convert to fraction form
    381,509/572,365.56 = 132,191/x
  3. Step 3: Cross multiply
    381,509x = 572,365.56 × 132,191
  4. Step 4: Simplify right side
    381,509x = 75,661,575,741.96
  5. Step 5: Solve for x
    x = 75,661,575,741.96/381,509
  6. Step 6: Final answer
    x = 198,321.86

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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.