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Finding the Fourth Proportional to 259,750.40, 389,625.60 and 200,701.40

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Solution

The fourth proportional to 259,750.40, 389,625.60 and 200,701.40 is: 301,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,750.40 : 389,625.60 = 200,701.40 : x
  2. Step 2: Convert to fraction form
    259,750.40/389,625.60 = 200,701.40/x
  3. Step 3: Cross multiply
    259,750.40x = 389,625.60 × 200,701.40
  4. Step 4: Simplify right side
    259,750.40x = 78,198,403,395.84
  5. Step 5: Solve for x
    x = 78,198,403,395.84/259,750.40
  6. Step 6: Final answer
    x = 301,052.10

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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.