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Finding the Fourth Proportional to 383,380, 529,042.96 and 211,292.32

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Solution

The fourth proportional to 383,380, 529,042.96 and 211,292.32 is: 291,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,380 : 529,042.96 = 211,292.32 : x
  2. Step 2: Convert to fraction form
    383,380/529,042.96 = 211,292.32/x
  3. Step 3: Cross multiply
    383,380x = 529,042.96 × 211,292.32
  4. Step 4: Simplify right side
    383,380x = 111,782,714,398.07
  5. Step 5: Solve for x
    x = 111,782,714,398.07/383,380
  6. Step 6: Final answer
    x = 291,571.59

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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.