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Finding the Fourth Proportional to 300,806.89, 415,106.84 and 164,837.86

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Solution

The fourth proportional to 300,806.89, 415,106.84 and 164,837.86 is: 227,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,806.89 : 415,106.84 = 164,837.86 : x
  2. Step 2: Convert to fraction form
    300,806.89/415,106.84 = 164,837.86/x
  3. Step 3: Cross multiply
    300,806.89x = 415,106.84 × 164,837.86
  4. Step 4: Simplify right side
    300,806.89x = 68,425,322,551.29
  5. Step 5: Solve for x
    x = 68,425,322,551.29/300,806.89
  6. Step 6: Final answer
    x = 227,472.59

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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.