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Finding the Fourth Proportional to 327,978, 492,006.41 and 310,041.87

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Solution

The fourth proportional to 327,978, 492,006.41 and 310,041.87 is: 465,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,978 : 492,006.41 = 310,041.87 : x
  2. Step 2: Convert to fraction form
    327,978/492,006.41 = 310,041.87/x
  3. Step 3: Cross multiply
    327,978x = 492,006.41 × 310,041.87
  4. Step 4: Simplify right side
    327,978x = 152,542,587,408.39
  5. Step 5: Solve for x
    x = 152,542,587,408.39/327,978
  6. Step 6: Final answer
    x = 465,100.06

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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.