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Finding the Fourth Proportional to 399,404.97, 599,112.75 and 133,165.56

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Solution

The fourth proportional to 399,404.97, 599,112.75 and 133,165.56 is: 199,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,404.97 : 599,112.75 = 133,165.56 : x
  2. Step 2: Convert to fraction form
    399,404.97/599,112.75 = 133,165.56/x
  3. Step 3: Cross multiply
    399,404.97x = 599,112.75 × 133,165.56
  4. Step 4: Simplify right side
    399,404.97x = 79,781,184,856.89
  5. Step 5: Solve for x
    x = 79,781,184,856.89/399,404.97
  6. Step 6: Final answer
    x = 199,750.11

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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.