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Finding the Fourth Proportional to 371,659.88, 512,895.46 and 201,897

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Solution

The fourth proportional to 371,659.88, 512,895.46 and 201,897 is: 278,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,659.88 : 512,895.46 = 201,897 : x
  2. Step 2: Convert to fraction form
    371,659.88/512,895.46 = 201,897/x
  3. Step 3: Cross multiply
    371,659.88x = 512,895.46 × 201,897
  4. Step 4: Simplify right side
    371,659.88x = 103,552,054,687.62
  5. Step 5: Solve for x
    x = 103,552,054,687.62/371,659.88
  6. Step 6: Final answer
    x = 278,620.48

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1.5x scale

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.