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Finding the Fourth Proportional to 358,137.47, 494,299.83 and 205,278.05

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Solution

The fourth proportional to 358,137.47, 494,299.83 and 205,278.05 is: 283,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,137.47 : 494,299.83 = 205,278.05 : x
  2. Step 2: Convert to fraction form
    358,137.47/494,299.83 = 205,278.05/x
  3. Step 3: Cross multiply
    358,137.47x = 494,299.83 × 205,278.05
  4. Step 4: Simplify right side
    358,137.47x = 101,468,907,223.27
  5. Step 5: Solve for x
    x = 101,468,907,223.27/358,137.47
  6. Step 6: Final answer
    x = 283,323.90

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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.