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Finding the Fourth Proportional to 354,584.25, 489,326.27 and 227,259.84

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Solution

The fourth proportional to 354,584.25, 489,326.27 and 227,259.84 is: 313,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,584.25 : 489,326.27 = 227,259.84 : x
  2. Step 2: Convert to fraction form
    354,584.25/489,326.27 = 227,259.84/x
  3. Step 3: Cross multiply
    354,584.25x = 489,326.27 × 227,259.84
  4. Step 4: Simplify right side
    354,584.25x = 111,204,210,526.67
  5. Step 5: Solve for x
    x = 111,204,210,526.67/354,584.25
  6. Step 6: Final answer
    x = 313,618.58

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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.