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Finding the Fourth Proportional to 354,992.58, 489,764.25 and 227,736.90

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Solution

The fourth proportional to 354,992.58, 489,764.25 and 227,736.90 is: 314,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,992.58 : 489,764.25 = 227,736.90 : x
  2. Step 2: Convert to fraction form
    354,992.58/489,764.25 = 227,736.90/x
  3. Step 3: Cross multiply
    354,992.58x = 489,764.25 × 227,736.90
  4. Step 4: Simplify right side
    354,992.58x = 111,537,392,025.83
  5. Step 5: Solve for x
    x = 111,537,392,025.83/354,992.58
  6. Step 6: Final answer
    x = 314,196.40

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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.