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Finding the Fourth Proportional to 300,507.64, 414,687.72 and 164,539.12

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Solution

The fourth proportional to 300,507.64, 414,687.72 and 164,539.12 is: 227,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,507.64 : 414,687.72 = 164,539.12 : x
  2. Step 2: Convert to fraction form
    300,507.64/414,687.72 = 164,539.12/x
  3. Step 3: Cross multiply
    300,507.64x = 414,687.72 × 164,539.12
  4. Step 4: Simplify right side
    300,507.64x = 68,232,352,523.61
  5. Step 5: Solve for x
    x = 68,232,352,523.61/300,507.64
  6. Step 6: Final answer
    x = 227,056.96

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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.