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Finding the Fourth Proportional to 354,911.06, 489,833.49 and 225,714.83

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Solution

The fourth proportional to 354,911.06, 489,833.49 and 225,714.83 is: 311,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,911.06 : 489,833.49 = 225,714.83 : x
  2. Step 2: Convert to fraction form
    354,911.06/489,833.49 = 225,714.83/x
  3. Step 3: Cross multiply
    354,911.06x = 489,833.49 × 225,714.83
  4. Step 4: Simplify right side
    354,911.06x = 110,562,682,923.66
  5. Step 5: Solve for x
    x = 110,562,682,923.66/354,911.06
  6. Step 6: Final answer
    x = 311,522.22

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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.