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Finding the Fourth Proportional to 354,084.85, 488,621.82 and 201,122.57

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Solution

The fourth proportional to 354,084.85, 488,621.82 and 201,122.57 is: 277,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,084.85 : 488,621.82 = 201,122.57 : x
  2. Step 2: Convert to fraction form
    354,084.85/488,621.82 = 201,122.57/x
  3. Step 3: Cross multiply
    354,084.85x = 488,621.82 × 201,122.57
  4. Step 4: Simplify right side
    354,084.85x = 98,272,876,196.48
  5. Step 5: Solve for x
    x = 98,272,876,196.48/354,084.85
  6. Step 6: Final answer
    x = 277,540.47

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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.