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Finding the Fourth Proportional to 300,816.12, 415,125.86 and 164,858.60

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Solution

The fourth proportional to 300,816.12, 415,125.86 and 164,858.60 is: 227,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,816.12 : 415,125.86 = 164,858.60 : x
  2. Step 2: Convert to fraction form
    300,816.12/415,125.86 = 164,858.60/x
  3. Step 3: Cross multiply
    300,816.12x = 415,125.86 × 164,858.60
  4. Step 4: Simplify right side
    300,816.12x = 68,437,068,103.40
  5. Step 5: Solve for x
    x = 68,437,068,103.40/300,816.12
  6. Step 6: Final answer
    x = 227,504.66

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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.