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Finding the Fourth Proportional to 378,907.50, 522,832.74 and 217,731.36

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Solution

The fourth proportional to 378,907.50, 522,832.74 and 217,731.36 is: 300,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.50 : 522,832.74 = 217,731.36 : x
  2. Step 2: Convert to fraction form
    378,907.50/522,832.74 = 217,731.36/x
  3. Step 3: Cross multiply
    378,907.50x = 522,832.74 × 217,731.36
  4. Step 4: Simplify right side
    378,907.50x = 113,837,083,532.73
  5. Step 5: Solve for x
    x = 113,837,083,532.73/378,907.50
  6. Step 6: Final answer
    x = 300,435.02

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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.