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Finding the Fourth Proportional to 228,295.80, 314,976.79 and 137,679.48

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Solution

The fourth proportional to 228,295.80, 314,976.79 and 137,679.48 is: 189,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,295.80 : 314,976.79 = 137,679.48 : x
  2. Step 2: Convert to fraction form
    228,295.80/314,976.79 = 137,679.48/x
  3. Step 3: Cross multiply
    228,295.80x = 314,976.79 × 137,679.48
  4. Step 4: Simplify right side
    228,295.80x = 43,365,840,659.27
  5. Step 5: Solve for x
    x = 43,365,840,659.27/228,295.80
  6. Step 6: Final answer
    x = 189,954.61

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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.