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Finding the Fourth Proportional to 371,288.54, 512,371.77 and 201,519.02

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Solution

The fourth proportional to 371,288.54, 512,371.77 and 201,519.02 is: 278,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,288.54 : 512,371.77 = 201,519.02 : x
  2. Step 2: Convert to fraction form
    371,288.54/512,371.77 = 201,519.02/x
  3. Step 3: Cross multiply
    371,288.54x = 512,371.77 × 201,519.02
  4. Step 4: Simplify right side
    371,288.54x = 103,252,656,966.07
  5. Step 5: Solve for x
    x = 103,252,656,966.07/371,288.54
  6. Step 6: Final answer
    x = 278,092.77

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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.