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Finding the Fourth Proportional to 538,855.78, 743,615.54 and 293,839.94

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Solution

The fourth proportional to 538,855.78, 743,615.54 and 293,839.94 is: 405,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,855.78 : 743,615.54 = 293,839.94 : x
  2. Step 2: Convert to fraction form
    538,855.78/743,615.54 = 293,839.94/x
  3. Step 3: Cross multiply
    538,855.78x = 743,615.54 × 293,839.94
  4. Step 4: Simplify right side
    538,855.78x = 218,503,943,749.84
  5. Step 5: Solve for x
    x = 218,503,943,749.84/538,855.78
  6. Step 6: Final answer
    x = 405,496.15

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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.