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Finding the Fourth Proportional to 507,022.08, 699,696 and 280,671.36

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Solution

The fourth proportional to 507,022.08, 699,696 and 280,671.36 is: 387,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,022.08 : 699,696 = 280,671.36 : x
  2. Step 2: Convert to fraction form
    507,022.08/699,696 = 280,671.36/x
  3. Step 3: Cross multiply
    507,022.08x = 699,696 × 280,671.36
  4. Step 4: Simplify right side
    507,022.08x = 196,384,627,906.56
  5. Step 5: Solve for x
    x = 196,384,627,906.56/507,022.08
  6. Step 6: Final answer
    x = 387,329.54

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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.