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Finding the Fourth Proportional to 354,313.44, 488,974.32 and 203,433.12

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Solution

The fourth proportional to 354,313.44, 488,974.32 and 203,433.12 is: 280,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,313.44 : 488,974.32 = 203,433.12 : x
  2. Step 2: Convert to fraction form
    354,313.44/488,974.32 = 203,433.12/x
  3. Step 3: Cross multiply
    354,313.44x = 488,974.32 × 203,433.12
  4. Step 4: Simplify right side
    354,313.44x = 99,473,571,517.48
  5. Step 5: Solve for x
    x = 99,473,571,517.48/354,313.44
  6. Step 6: Final answer
    x = 280,750.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.