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Finding the Fourth Proportional to 393,953.12, 543,648.16 and 224,183.52

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Solution

The fourth proportional to 393,953.12, 543,648.16 and 224,183.52 is: 309,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,953.12 : 543,648.16 = 224,183.52 : x
  2. Step 2: Convert to fraction form
    393,953.12/543,648.16 = 224,183.52/x
  3. Step 3: Cross multiply
    393,953.12x = 543,648.16 × 224,183.52
  4. Step 4: Simplify right side
    393,953.12x = 121,876,958,150.32
  5. Step 5: Solve for x
    x = 121,876,958,150.32/393,953.12
  6. Step 6: Final answer
    x = 309,369.19

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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.