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Finding the Fourth Proportional to 345,016.80, 476,101.80 and 201,768.30

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Solution

The fourth proportional to 345,016.80, 476,101.80 and 201,768.30 is: 278,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,016.80 : 476,101.80 = 201,768.30 : x
  2. Step 2: Convert to fraction form
    345,016.80/476,101.80 = 201,768.30/x
  3. Step 3: Cross multiply
    345,016.80x = 476,101.80 × 201,768.30
  4. Step 4: Simplify right side
    345,016.80x = 96,062,250,812.94
  5. Step 5: Solve for x
    x = 96,062,250,812.94/345,016.80
  6. Step 6: Final answer
    x = 278,427.75

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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.