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Finding the Fourth Proportional to 300,149.80, 414,189.30 and 164,158.36

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Solution

The fourth proportional to 300,149.80, 414,189.30 and 164,158.36 is: 226,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,149.80 : 414,189.30 = 164,158.36 : x
  2. Step 2: Convert to fraction form
    300,149.80/414,189.30 = 164,158.36/x
  3. Step 3: Cross multiply
    300,149.80x = 414,189.30 × 164,158.36
  4. Step 4: Simplify right side
    300,149.80x = 67,992,636,217.55
  5. Step 5: Solve for x
    x = 67,992,636,217.55/300,149.80
  6. Step 6: Final answer
    x = 226,529.01

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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.