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Finding the Fourth Proportional to 354,998.08, 489,893.52 and 193,852.64

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Solution

The fourth proportional to 354,998.08, 489,893.52 and 193,852.64 is: 267,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,998.08 : 489,893.52 = 193,852.64 : x
  2. Step 2: Convert to fraction form
    354,998.08/489,893.52 = 193,852.64/x
  3. Step 3: Cross multiply
    354,998.08x = 489,893.52 × 193,852.64
  4. Step 4: Simplify right side
    354,998.08x = 94,967,152,170.89
  5. Step 5: Solve for x
    x = 94,967,152,170.89/354,998.08
  6. Step 6: Final answer
    x = 267,514.55

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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.