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Finding the Fourth Proportional to 300,328.81, 414,449.86 and 164,360.29

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Solution

The fourth proportional to 300,328.81, 414,449.86 and 164,360.29 is: 226,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,328.81 : 414,449.86 = 164,360.29 : x
  2. Step 2: Convert to fraction form
    300,328.81/414,449.86 = 164,360.29/x
  3. Step 3: Cross multiply
    300,328.81x = 414,449.86 × 164,360.29
  4. Step 4: Simplify right side
    300,328.81x = 68,119,096,286.01
  5. Step 5: Solve for x
    x = 68,119,096,286.01/300,328.81
  6. Step 6: Final answer
    x = 226,815.06

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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.