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Finding the Fourth Proportional to 286,004.75, 428,838.89 and 108,524.23

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Solution

The fourth proportional to 286,004.75, 428,838.89 and 108,524.23 is: 162,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,004.75 : 428,838.89 = 108,524.23 : x
  2. Step 2: Convert to fraction form
    286,004.75/428,838.89 = 108,524.23/x
  3. Step 3: Cross multiply
    286,004.75x = 428,838.89 × 108,524.23
  4. Step 4: Simplify right side
    286,004.75x = 46,539,409,530.52
  5. Step 5: Solve for x
    x = 46,539,409,530.52/286,004.75
  6. Step 6: Final answer
    x = 162,722.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.