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Finding the Fourth Proportional to 354,947.88, 489,847.94 and 193,817.93

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Solution

The fourth proportional to 354,947.88, 489,847.94 and 193,817.93 is: 267,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,947.88 : 489,847.94 = 193,817.93 : x
  2. Step 2: Convert to fraction form
    354,947.88/489,847.94 = 193,817.93/x
  3. Step 3: Cross multiply
    354,947.88x = 489,847.94 × 193,817.93
  4. Step 4: Simplify right side
    354,947.88x = 94,941,311,054.05
  5. Step 5: Solve for x
    x = 94,941,311,054.05/354,947.88
  6. Step 6: Final answer
    x = 267,479.58

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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.