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Finding the Fourth Proportional to 307,797.06, 424,767.09 and 193,080.54

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Solution

The fourth proportional to 307,797.06, 424,767.09 and 193,080.54 is: 266,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,797.06 : 424,767.09 = 193,080.54 : x
  2. Step 2: Convert to fraction form
    307,797.06/424,767.09 = 193,080.54/x
  3. Step 3: Cross multiply
    307,797.06x = 424,767.09 × 193,080.54
  4. Step 4: Simplify right side
    307,797.06x = 82,014,259,111.43
  5. Step 5: Solve for x
    x = 82,014,259,111.43/307,797.06
  6. Step 6: Final answer
    x = 266,455.63

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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.