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Finding the Fourth Proportional to 371,274.87, 512,359.83 and 201,509.01

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Solution

The fourth proportional to 371,274.87, 512,359.83 and 201,509.01 is: 278,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,274.87 : 512,359.83 = 201,509.01 : x
  2. Step 2: Convert to fraction form
    371,274.87/512,359.83 = 201,509.01/x
  3. Step 3: Cross multiply
    371,274.87x = 512,359.83 × 201,509.01
  4. Step 4: Simplify right side
    371,274.87x = 103,245,122,107.07
  5. Step 5: Solve for x
    x = 103,245,122,107.07/371,274.87
  6. Step 6: Final answer
    x = 278,082.71

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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.