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Finding the Fourth Proportional to 403,422.20, 605,133.30 and 261,704.60

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Solution

The fourth proportional to 403,422.20, 605,133.30 and 261,704.60 is: 392,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,422.20 : 605,133.30 = 261,704.60 : x
  2. Step 2: Convert to fraction form
    403,422.20/605,133.30 = 261,704.60/x
  3. Step 3: Cross multiply
    403,422.20x = 605,133.30 × 261,704.60
  4. Step 4: Simplify right side
    403,422.20x = 158,366,168,223.18
  5. Step 5: Solve for x
    x = 158,366,168,223.18/403,422.20
  6. Step 6: Final answer
    x = 392,556.90

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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.