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Finding the Fourth Proportional to 277,476.80, 416,138.40 and 111,281.60

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Solution

The fourth proportional to 277,476.80, 416,138.40 and 111,281.60 is: 166,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,476.80 : 416,138.40 = 111,281.60 : x
  2. Step 2: Convert to fraction form
    277,476.80/416,138.40 = 111,281.60/x
  3. Step 3: Cross multiply
    277,476.80x = 416,138.40 × 111,281.60
  4. Step 4: Simplify right side
    277,476.80x = 46,308,546,973.44
  5. Step 5: Solve for x
    x = 46,308,546,973.44/277,476.80
  6. Step 6: Final answer
    x = 166,891.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.