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Finding the Fourth Proportional to 380,935, 525,696.22 and 208,868.64

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Solution

The fourth proportional to 380,935, 525,696.22 and 208,868.64 is: 288,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,935 : 525,696.22 = 208,868.64 : x
  2. Step 2: Convert to fraction form
    380,935/525,696.22 = 208,868.64/x
  3. Step 3: Cross multiply
    380,935x = 525,696.22 × 208,868.64
  4. Step 4: Simplify right side
    380,935x = 109,801,454,524.54
  5. Step 5: Solve for x
    x = 109,801,454,524.54/380,935
  6. Step 6: Final answer
    x = 288,241.97

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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.