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Finding the Fourth Proportional to 300,428.13, 414,574.77 and 164,435.70

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Solution

The fourth proportional to 300,428.13, 414,574.77 and 164,435.70 is: 226,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,428.13 : 414,574.77 = 164,435.70 : x
  2. Step 2: Convert to fraction form
    300,428.13/414,574.77 = 164,435.70/x
  3. Step 3: Cross multiply
    300,428.13x = 414,574.77 × 164,435.70
  4. Step 4: Simplify right side
    300,428.13x = 68,170,892,507.29
  5. Step 5: Solve for x
    x = 68,170,892,507.29/300,428.13
  6. Step 6: Final answer
    x = 226,912.48

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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.