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Finding the Fourth Proportional to 353,861.61, 488,342.84 and 200,914.03

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Solution

The fourth proportional to 353,861.61, 488,342.84 and 200,914.03 is: 277,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,861.61 : 488,342.84 = 200,914.03 : x
  2. Step 2: Convert to fraction form
    353,861.61/488,342.84 = 200,914.03/x
  3. Step 3: Cross multiply
    353,861.61x = 488,342.84 × 200,914.03
  4. Step 4: Simplify right side
    353,861.61x = 98,114,928,006.05
  5. Step 5: Solve for x
    x = 98,114,928,006.05/353,861.61
  6. Step 6: Final answer
    x = 277,269.21

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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.