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Finding the Fourth Proportional to 247,610.22, 342,022.62 and 204,762.78

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Solution

The fourth proportional to 247,610.22, 342,022.62 and 204,762.78 is: 282,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,610.22 : 342,022.62 = 204,762.78 : x
  2. Step 2: Convert to fraction form
    247,610.22/342,022.62 = 204,762.78/x
  3. Step 3: Cross multiply
    247,610.22x = 342,022.62 × 204,762.78
  4. Step 4: Simplify right side
    247,610.22x = 70,033,502,494.08
  5. Step 5: Solve for x
    x = 70,033,502,494.08/247,610.22
  6. Step 6: Final answer
    x = 282,837.69

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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.