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Finding the Fourth Proportional to 371,600.78, 512,811.78 and 201,834.96

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Solution

The fourth proportional to 371,600.78, 512,811.78 and 201,834.96 is: 278,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,600.78 : 512,811.78 = 201,834.96 : x
  2. Step 2: Convert to fraction form
    371,600.78/512,811.78 = 201,834.96/x
  3. Step 3: Cross multiply
    371,600.78x = 512,811.78 × 201,834.96
  4. Step 4: Simplify right side
    371,600.78x = 103,503,345,103.83
  5. Step 5: Solve for x
    x = 103,503,345,103.83/371,600.78
  6. Step 6: Final answer
    x = 278,533.71

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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.