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Finding the Fourth Proportional to 354,853.44, 489,697.92 and 203,941.44

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Solution

The fourth proportional to 354,853.44, 489,697.92 and 203,941.44 is: 281,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,853.44 : 489,697.92 = 203,941.44 : x
  2. Step 2: Convert to fraction form
    354,853.44/489,697.92 = 203,941.44/x
  3. Step 3: Cross multiply
    354,853.44x = 489,697.92 × 203,941.44
  4. Step 4: Simplify right side
    354,853.44x = 99,869,698,969.80
  5. Step 5: Solve for x
    x = 99,869,698,969.80/354,853.44
  6. Step 6: Final answer
    x = 281,439.29

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1.5x scale

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.