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Finding the Fourth Proportional to 538,794.18, 743,540.97 and 297,085.42

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Solution

The fourth proportional to 538,794.18, 743,540.97 and 297,085.42 is: 409,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,794.18 : 743,540.97 = 297,085.42 : x
  2. Step 2: Convert to fraction form
    538,794.18/743,540.97 = 297,085.42/x
  3. Step 3: Cross multiply
    538,794.18x = 743,540.97 × 297,085.42
  4. Step 4: Simplify right side
    538,794.18x = 220,895,181,732.05
  5. Step 5: Solve for x
    x = 220,895,181,732.05/538,794.18
  6. Step 6: Final answer
    x = 409,980.64

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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.