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Finding the Fourth Proportional to 300,409.84, 414,528.92 and 239,311.64

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Solution

The fourth proportional to 300,409.84, 414,528.92 and 239,311.64 is: 330,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,409.84 : 414,528.92 = 239,311.64 : x
  2. Step 2: Convert to fraction form
    300,409.84/414,528.92 = 239,311.64/x
  3. Step 3: Cross multiply
    300,409.84x = 414,528.92 × 239,311.64
  4. Step 4: Simplify right side
    300,409.84x = 99,201,595,672.63
  5. Step 5: Solve for x
    x = 99,201,595,672.63/300,409.84
  6. Step 6: Final answer
    x = 330,220.86

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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.