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Finding the Fourth Proportional to 300,642.94, 414,687.90 and 193,348.72

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Solution

The fourth proportional to 300,642.94, 414,687.90 and 193,348.72 is: 266,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,642.94 : 414,687.90 = 193,348.72 : x
  2. Step 2: Convert to fraction form
    300,642.94/414,687.90 = 193,348.72/x
  3. Step 3: Cross multiply
    300,642.94x = 414,687.90 × 193,348.72
  4. Step 4: Simplify right side
    300,642.94x = 80,179,374,664.49
  5. Step 5: Solve for x
    x = 80,179,374,664.49/300,642.94
  6. Step 6: Final answer
    x = 266,693.02

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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.