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Finding the Fourth Proportional to 300,776.94, 415,072.28 and 164,809.78

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Solution

The fourth proportional to 300,776.94, 415,072.28 and 164,809.78 is: 227,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,776.94 : 415,072.28 = 164,809.78 : x
  2. Step 2: Convert to fraction form
    300,776.94/415,072.28 = 164,809.78/x
  3. Step 3: Cross multiply
    300,776.94x = 415,072.28 × 164,809.78
  4. Step 4: Simplify right side
    300,776.94x = 68,407,971,150.90
  5. Step 5: Solve for x
    x = 68,407,971,150.90/300,776.94
  6. Step 6: Final answer
    x = 227,437.55

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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.