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Finding the Fourth Proportional to 200,400, 300,337.56 and 111,695.28

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Solution

The fourth proportional to 200,400, 300,337.56 and 111,695.28 is: 167,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400 : 300,337.56 = 111,695.28 : x
  2. Step 2: Convert to fraction form
    200,400/300,337.56 = 111,695.28/x
  3. Step 3: Cross multiply
    200,400x = 300,337.56 × 111,695.28
  4. Step 4: Simplify right side
    200,400x = 33,546,287,858.72
  5. Step 5: Solve for x
    x = 33,546,287,858.72/200,400
  6. Step 6: Final answer
    x = 167,396.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.