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Finding the Fourth Proportional to 259,728.40, 389,884.20 and 200,825.20

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Solution

The fourth proportional to 259,728.40, 389,884.20 and 200,825.20 is: 301,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728.40 : 389,884.20 = 200,825.20 : x
  2. Step 2: Convert to fraction form
    259,728.40/389,884.20 = 200,825.20/x
  3. Step 3: Cross multiply
    259,728.40x = 389,884.20 × 200,825.20
  4. Step 4: Simplify right side
    259,728.40x = 78,298,572,441.84
  5. Step 5: Solve for x
    x = 78,298,572,441.84/259,728.40
  6. Step 6: Final answer
    x = 301,463.27

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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.