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Finding the Fourth Proportional to 300,305.84, 414,422.06 and 164,339.78

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Solution

The fourth proportional to 300,305.84, 414,422.06 and 164,339.78 is: 226,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,305.84 : 414,422.06 = 164,339.78 : x
  2. Step 2: Convert to fraction form
    300,305.84/414,422.06 = 164,339.78/x
  3. Step 3: Cross multiply
    300,305.84x = 414,422.06 × 164,339.78
  4. Step 4: Simplify right side
    300,305.84x = 68,106,027,273.74
  5. Step 5: Solve for x
    x = 68,106,027,273.74/300,305.84
  6. Step 6: Final answer
    x = 226,788.89

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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.