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Finding the Fourth Proportional to 488,960.28, 674,771.31 and 297,991.44

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Solution

The fourth proportional to 488,960.28, 674,771.31 and 297,991.44 is: 411,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,960.28 : 674,771.31 = 297,991.44 : x
  2. Step 2: Convert to fraction form
    488,960.28/674,771.31 = 297,991.44/x
  3. Step 3: Cross multiply
    488,960.28x = 674,771.31 × 297,991.44
  4. Step 4: Simplify right side
    488,960.28x = 201,076,074,337.59
  5. Step 5: Solve for x
    x = 201,076,074,337.59/488,960.28
  6. Step 6: Final answer
    x = 411,231.92

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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.