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Finding the Fourth Proportional to 421,794.85, 582,075.32 and 228,201.94

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Solution

The fourth proportional to 421,794.85, 582,075.32 and 228,201.94 is: 314,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,794.85 : 582,075.32 = 228,201.94 : x
  2. Step 2: Convert to fraction form
    421,794.85/582,075.32 = 228,201.94/x
  3. Step 3: Cross multiply
    421,794.85x = 582,075.32 × 228,201.94
  4. Step 4: Simplify right side
    421,794.85x = 132,830,717,250.12
  5. Step 5: Solve for x
    x = 132,830,717,250.12/421,794.85
  6. Step 6: Final answer
    x = 314,917.83

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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.