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Finding the Fourth Proportional to 300,528.75, 414,742.64 and 166,392.75

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Solution

The fourth proportional to 300,528.75, 414,742.64 and 166,392.75 is: 229,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528.75 : 414,742.64 = 166,392.75 : x
  2. Step 2: Convert to fraction form
    300,528.75/414,742.64 = 166,392.75/x
  3. Step 3: Cross multiply
    300,528.75x = 414,742.64 × 166,392.75
  4. Step 4: Simplify right side
    300,528.75x = 69,010,167,579.90
  5. Step 5: Solve for x
    x = 69,010,167,579.90/300,528.75
  6. Step 6: Final answer
    x = 229,629.17

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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.