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Finding the Fourth Proportional to 217,670.24, 300,374.82 and 120,880.24

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Solution

The fourth proportional to 217,670.24, 300,374.82 and 120,880.24 is: 166,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,670.24 : 300,374.82 = 120,880.24 : x
  2. Step 2: Convert to fraction form
    217,670.24/300,374.82 = 120,880.24/x
  3. Step 3: Cross multiply
    217,670.24x = 300,374.82 × 120,880.24
  4. Step 4: Simplify right side
    217,670.24x = 36,309,380,331.56
  5. Step 5: Solve for x
    x = 36,309,380,331.56/217,670.24
  6. Step 6: Final answer
    x = 166,809.12

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1.5x scale

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.