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Finding the Fourth Proportional to 354,658.76, 489,357.42 and 225,648.44

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Solution

The fourth proportional to 354,658.76, 489,357.42 and 225,648.44 is: 311,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,658.76 : 489,357.42 = 225,648.44 : x
  2. Step 2: Convert to fraction form
    354,658.76/489,357.42 = 225,648.44/x
  3. Step 3: Cross multiply
    354,658.76x = 489,357.42 × 225,648.44
  4. Step 4: Simplify right side
    354,658.76x = 110,422,738,425.43
  5. Step 5: Solve for x
    x = 110,422,738,425.43/354,658.76
  6. Step 6: Final answer
    x = 311,349.25

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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.