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Finding the Fourth Proportional to 380,934, 525,694.84 and 208,867.64

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Solution

The fourth proportional to 380,934, 525,694.84 and 208,867.64 is: 288,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,934 : 525,694.84 = 208,867.64 : x
  2. Step 2: Convert to fraction form
    380,934/525,694.84 = 208,867.64/x
  3. Step 3: Cross multiply
    380,934x = 525,694.84 × 208,867.64
  4. Step 4: Simplify right side
    380,934x = 109,800,640,590.98
  5. Step 5: Solve for x
    x = 109,800,640,590.98/380,934
  6. Step 6: Final answer
    x = 288,240.59

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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.