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Finding the Fourth Proportional to 381,336.78, 526,307.55 and 211,625.58

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Solution

The fourth proportional to 381,336.78, 526,307.55 and 211,625.58 is: 292,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,336.78 : 526,307.55 = 211,625.58 : x
  2. Step 2: Convert to fraction form
    381,336.78/526,307.55 = 211,625.58/x
  3. Step 3: Cross multiply
    381,336.78x = 526,307.55 × 211,625.58
  4. Step 4: Simplify right side
    381,336.78x = 111,380,140,527.13
  5. Step 5: Solve for x
    x = 111,380,140,527.13/381,336.78
  6. Step 6: Final answer
    x = 292,078.15

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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.