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Finding the Fourth Proportional to 300,930.42, 415,281.34 and 164,971.92

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Solution

The fourth proportional to 300,930.42, 415,281.34 and 164,971.92 is: 227,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,930.42 : 415,281.34 = 164,971.92 : x
  2. Step 2: Convert to fraction form
    300,930.42/415,281.34 = 164,971.92/x
  3. Step 3: Cross multiply
    300,930.42x = 415,281.34 × 164,971.92
  4. Step 4: Simplify right side
    300,930.42x = 68,509,759,999.97
  5. Step 5: Solve for x
    x = 68,509,759,999.97/300,930.42
  6. Step 6: Final answer
    x = 227,659.80

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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.