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Finding the Fourth Proportional to 394,236.72, 543,911.76 and 224,428.32

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Solution

The fourth proportional to 394,236.72, 543,911.76 and 224,428.32 is: 309,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,236.72 : 543,911.76 = 224,428.32 : x
  2. Step 2: Convert to fraction form
    394,236.72/543,911.76 = 224,428.32/x
  3. Step 3: Cross multiply
    394,236.72x = 543,911.76 × 224,428.32
  4. Step 4: Simplify right side
    394,236.72x = 122,069,202,525.04
  5. Step 5: Solve for x
    x = 122,069,202,525.04/394,236.72
  6. Step 6: Final answer
    x = 309,634.28

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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.