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Finding the Fourth Proportional to 501,083.85, 691,523.97 and 297,255.45

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Solution

The fourth proportional to 501,083.85, 691,523.97 and 297,255.45 is: 410,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,083.85 : 691,523.97 = 297,255.45 : x
  2. Step 2: Convert to fraction form
    501,083.85/691,523.97 = 297,255.45/x
  3. Step 3: Cross multiply
    501,083.85x = 691,523.97 × 297,255.45
  4. Step 4: Simplify right side
    501,083.85x = 205,559,268,888.14
  5. Step 5: Solve for x
    x = 205,559,268,888.14/501,083.85
  6. Step 6: Final answer
    x = 410,229.28

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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.