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Finding the Fourth Proportional to 371,616.50, 512,840.13 and 201,850.58

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Solution

The fourth proportional to 371,616.50, 512,840.13 and 201,850.58 is: 278,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,616.50 : 512,840.13 = 201,850.58 : x
  2. Step 2: Convert to fraction form
    371,616.50/512,840.13 = 201,850.58/x
  3. Step 3: Cross multiply
    371,616.50x = 512,840.13 × 201,850.58
  4. Step 4: Simplify right side
    371,616.50x = 103,517,077,687.78
  5. Step 5: Solve for x
    x = 103,517,077,687.78/371,616.50
  6. Step 6: Final answer
    x = 278,558.88

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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.