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Finding the Fourth Proportional to 228,480.44, 315,203.74 and 137,786.00

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Solution

The fourth proportional to 228,480.44, 315,203.74 and 137,786.00 is: 190,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,480.44 : 315,203.74 = 137,786.00 : x
  2. Step 2: Convert to fraction form
    228,480.44/315,203.74 = 137,786.00/x
  3. Step 3: Cross multiply
    228,480.44x = 315,203.74 × 137,786.00
  4. Step 4: Simplify right side
    228,480.44x = 43,430,662,372.18
  5. Step 5: Solve for x
    x = 43,430,662,372.18/228,480.44
  6. Step 6: Final answer
    x = 190,084.82

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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.