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Finding the Fourth Proportional to 381,415.50, 526,369.79 and 211,649.63

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Solution

The fourth proportional to 381,415.50, 526,369.79 and 211,649.63 is: 292,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,415.50 : 526,369.79 = 211,649.63 : x
  2. Step 2: Convert to fraction form
    381,415.50/526,369.79 = 211,649.63/x
  3. Step 3: Cross multiply
    381,415.50x = 526,369.79 × 211,649.63
  4. Step 4: Simplify right side
    381,415.50x = 111,405,969,193.95
  5. Step 5: Solve for x
    x = 111,405,969,193.95/381,415.50
  6. Step 6: Final answer
    x = 292,085.58

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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.