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Finding the Fourth Proportional to 277,700.70, 416,745.45 and 120,042.30

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Solution

The fourth proportional to 277,700.70, 416,745.45 and 120,042.30 is: 180,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,700.70 : 416,745.45 = 120,042.30 : x
  2. Step 2: Convert to fraction form
    277,700.70/416,745.45 = 120,042.30/x
  3. Step 3: Cross multiply
    277,700.70x = 416,745.45 × 120,042.30
  4. Step 4: Simplify right side
    277,700.70x = 50,027,082,332.54
  5. Step 5: Solve for x
    x = 50,027,082,332.54/277,700.70
  6. Step 6: Final answer
    x = 180,147.48

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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.