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Finding the Fourth Proportional to 378,387, 522,174.24 and 208,632.24

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Solution

The fourth proportional to 378,387, 522,174.24 and 208,632.24 is: 287,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,387 : 522,174.24 = 208,632.24 : x
  2. Step 2: Convert to fraction form
    378,387/522,174.24 = 208,632.24/x
  3. Step 3: Cross multiply
    378,387x = 522,174.24 × 208,632.24
  4. Step 4: Simplify right side
    378,387x = 108,942,381,361.50
  5. Step 5: Solve for x
    x = 108,942,381,361.50/378,387
  6. Step 6: Final answer
    x = 287,912.59

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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.