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Finding the Fourth Proportional to 454,625.80, 682,351.80 and 230,142.40

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Solution

The fourth proportional to 454,625.80, 682,351.80 and 230,142.40 is: 345,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,625.80 : 682,351.80 = 230,142.40 : x
  2. Step 2: Convert to fraction form
    454,625.80/682,351.80 = 230,142.40/x
  3. Step 3: Cross multiply
    454,625.80x = 682,351.80 × 230,142.40
  4. Step 4: Simplify right side
    454,625.80x = 157,038,080,896.32
  5. Step 5: Solve for x
    x = 157,038,080,896.32/454,625.80
  6. Step 6: Final answer
    x = 345,422.72

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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.