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Finding the Fourth Proportional to 300,424.12, 414,569.26 and 164,431.70

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Solution

The fourth proportional to 300,424.12, 414,569.26 and 164,431.70 is: 226,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,424.12 : 414,569.26 = 164,431.70 : x
  2. Step 2: Convert to fraction form
    300,424.12/414,569.26 = 164,431.70/x
  3. Step 3: Cross multiply
    300,424.12x = 414,569.26 × 164,431.70
  4. Step 4: Simplify right side
    300,424.12x = 68,168,328,189.54
  5. Step 5: Solve for x
    x = 68,168,328,189.54/300,424.12
  6. Step 6: Final answer
    x = 226,906.97

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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.