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Finding the Fourth Proportional to 274,327.81, 411,450.13 and 74,663.75

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Solution

The fourth proportional to 274,327.81, 411,450.13 and 74,663.75 is: 111,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.81 : 411,450.13 = 74,663.75 : x
  2. Step 2: Convert to fraction form
    274,327.81/411,450.13 = 74,663.75/x
  3. Step 3: Cross multiply
    274,327.81x = 411,450.13 × 74,663.75
  4. Step 4: Simplify right side
    274,327.81x = 30,720,409,643.79
  5. Step 5: Solve for x
    x = 30,720,409,643.79/274,327.81
  6. Step 6: Final answer
    x = 111,984.31

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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.