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Finding the Fourth Proportional to 538,940.40, 743,771.86 and 297,223.44

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Solution

The fourth proportional to 538,940.40, 743,771.86 and 297,223.44 is: 410,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,940.40 : 743,771.86 = 297,223.44 : x
  2. Step 2: Convert to fraction form
    538,940.40/743,771.86 = 297,223.44/x
  3. Step 3: Cross multiply
    538,940.40x = 743,771.86 × 297,223.44
  4. Step 4: Simplify right side
    538,940.40x = 221,066,430,804.40
  5. Step 5: Solve for x
    x = 221,066,430,804.40/538,940.40
  6. Step 6: Final answer
    x = 410,187.16

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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.