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Finding the Fourth Proportional to 381,512, 526,486.56 and 211,747.34

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Solution

The fourth proportional to 381,512, 526,486.56 and 211,747.34 is: 292,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,512 : 526,486.56 = 211,747.34 : x
  2. Step 2: Convert to fraction form
    381,512/526,486.56 = 211,747.34/x
  3. Step 3: Cross multiply
    381,512x = 526,486.56 × 211,747.34
  4. Step 4: Simplify right side
    381,512x = 111,482,128,625.75
  5. Step 5: Solve for x
    x = 111,482,128,625.75/381,512
  6. Step 6: Final answer
    x = 292,211.33

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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.