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Finding the Fourth Proportional to 371,355.50, 512,469.32 and 201,588.42

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Solution

The fourth proportional to 371,355.50, 512,469.32 and 201,588.42 is: 278,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,355.50 : 512,469.32 = 201,588.42 : x
  2. Step 2: Convert to fraction form
    371,355.50/512,469.32 = 201,588.42/x
  3. Step 3: Cross multiply
    371,355.50x = 512,469.32 × 201,588.42
  4. Step 4: Simplify right side
    371,355.50x = 103,307,880,517.27
  5. Step 5: Solve for x
    x = 103,307,880,517.27/371,355.50
  6. Step 6: Final answer
    x = 278,191.33

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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.