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Finding the Fourth Proportional to 284,047.26, 425,639.82 and 208,809

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Solution

The fourth proportional to 284,047.26, 425,639.82 and 208,809 is: 312,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,047.26 : 425,639.82 = 208,809 : x
  2. Step 2: Convert to fraction form
    284,047.26/425,639.82 = 208,809/x
  3. Step 3: Cross multiply
    284,047.26x = 425,639.82 × 208,809
  4. Step 4: Simplify right side
    284,047.26x = 88,877,425,174.38
  5. Step 5: Solve for x
    x = 88,877,425,174.38/284,047.26
  6. Step 6: Final answer
    x = 312,896.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.