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Finding the Fourth Proportional to 382,796.07, 528,258.87 and 221,659.74

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Solution

The fourth proportional to 382,796.07, 528,258.87 and 221,659.74 is: 305,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,796.07 : 528,258.87 = 221,659.74 : x
  2. Step 2: Convert to fraction form
    382,796.07/528,258.87 = 221,659.74/x
  3. Step 3: Cross multiply
    382,796.07x = 528,258.87 × 221,659.74
  4. Step 4: Simplify right side
    382,796.07x = 117,093,723,776.89
  5. Step 5: Solve for x
    x = 117,093,723,776.89/382,796.07
  6. Step 6: Final answer
    x = 305,890.61

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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.