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Finding the Fourth Proportional to 382,449.66, 573,415.66 and 214,086.20

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Solution

The fourth proportional to 382,449.66, 573,415.66 and 214,086.20 is: 320,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,449.66 : 573,415.66 = 214,086.20 : x
  2. Step 2: Convert to fraction form
    382,449.66/573,415.66 = 214,086.20/x
  3. Step 3: Cross multiply
    382,449.66x = 573,415.66 × 214,086.20
  4. Step 4: Simplify right side
    382,449.66x = 122,760,379,669.89
  5. Step 5: Solve for x
    x = 122,760,379,669.89/382,449.66
  6. Step 6: Final answer
    x = 320,984.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.