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Finding the Fourth Proportional to 538,847.37, 743,614.43 and 297,138.61

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Solution

The fourth proportional to 538,847.37, 743,614.43 and 297,138.61 is: 410,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,847.37 : 743,614.43 = 297,138.61 : x
  2. Step 2: Convert to fraction form
    538,847.37/743,614.43 = 297,138.61/x
  3. Step 3: Cross multiply
    538,847.37x = 743,614.43 × 297,138.61
  4. Step 4: Simplify right side
    538,847.37x = 220,956,557,549.97
  5. Step 5: Solve for x
    x = 220,956,557,549.97/538,847.37
  6. Step 6: Final answer
    x = 410,054.07

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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.