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Finding the Fourth Proportional to 327,038.40, 490,622.40 and 274,809.60

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Solution

The fourth proportional to 327,038.40, 490,622.40 and 274,809.60 is: 412,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,038.40 : 490,622.40 = 274,809.60 : x
  2. Step 2: Convert to fraction form
    327,038.40/490,622.40 = 274,809.60/x
  3. Step 3: Cross multiply
    327,038.40x = 490,622.40 × 274,809.60
  4. Step 4: Simplify right side
    327,038.40x = 134,827,745,495.04
  5. Step 5: Solve for x
    x = 134,827,745,495.04/327,038.40
  6. Step 6: Final answer
    x = 412,268.85

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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.