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Finding the Fourth Proportional to 277,699.20, 416,743.20 and 120,040.80

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Solution

The fourth proportional to 277,699.20, 416,743.20 and 120,040.80 is: 180,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,699.20 : 416,743.20 = 120,040.80 : x
  2. Step 2: Convert to fraction form
    277,699.20/416,743.20 = 120,040.80/x
  3. Step 3: Cross multiply
    277,699.20x = 416,743.20 × 120,040.80
  4. Step 4: Simplify right side
    277,699.20x = 50,026,187,122.56
  5. Step 5: Solve for x
    x = 50,026,187,122.56/277,699.20
  6. Step 6: Final answer
    x = 180,145.23

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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.