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Finding the Fourth Proportional to 327,091.20, 490,652.64 and 90,428.64

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Solution

The fourth proportional to 327,091.20, 490,652.64 and 90,428.64 is: 135,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,091.20 : 490,652.64 = 90,428.64 : x
  2. Step 2: Convert to fraction form
    327,091.20/490,652.64 = 90,428.64/x
  3. Step 3: Cross multiply
    327,091.20x = 490,652.64 × 90,428.64
  4. Step 4: Simplify right side
    327,091.20x = 44,369,050,947.61
  5. Step 5: Solve for x
    x = 44,369,050,947.61/327,091.20
  6. Step 6: Final answer
    x = 135,647.34

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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.