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Finding the Fourth Proportional to 340,578.22, 470,012.52 and 189,675.22

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Solution

The fourth proportional to 340,578.22, 470,012.52 and 189,675.22 is: 261,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,578.22 : 470,012.52 = 189,675.22 : x
  2. Step 2: Convert to fraction form
    340,578.22/470,012.52 = 189,675.22/x
  3. Step 3: Cross multiply
    340,578.22x = 470,012.52 × 189,675.22
  4. Step 4: Simplify right side
    340,578.22x = 89,149,728,133.75
  5. Step 5: Solve for x
    x = 89,149,728,133.75/340,578.22
  6. Step 6: Final answer
    x = 261,759.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.