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Finding the Fourth Proportional to 300,578, 414,797.64 and 166,442

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Solution

The fourth proportional to 300,578, 414,797.64 and 166,442 is: 229,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,578 : 414,797.64 = 166,442 : x
  2. Step 2: Convert to fraction form
    300,578/414,797.64 = 166,442/x
  3. Step 3: Cross multiply
    300,578x = 414,797.64 × 166,442
  4. Step 4: Simplify right side
    300,578x = 69,039,748,796.88
  5. Step 5: Solve for x
    x = 69,039,748,796.88/300,578
  6. Step 6: Final answer
    x = 229,689.96

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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.