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Finding the Fourth Proportional to 300,313.29, 414,419.90 and 164,343.81

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Solution

The fourth proportional to 300,313.29, 414,419.90 and 164,343.81 is: 226,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,313.29 : 414,419.90 = 164,343.81 : x
  2. Step 2: Convert to fraction form
    300,313.29/414,419.90 = 164,343.81/x
  3. Step 3: Cross multiply
    300,313.29x = 414,419.90 × 164,343.81
  4. Step 4: Simplify right side
    300,313.29x = 68,107,344,484.10
  5. Step 5: Solve for x
    x = 68,107,344,484.10/300,313.29
  6. Step 6: Final answer
    x = 226,787.65

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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.