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Finding the Fourth Proportional to 382,381.80, 573,649.32 and 214,141.44

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Solution

The fourth proportional to 382,381.80, 573,649.32 and 214,141.44 is: 321,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,381.80 : 573,649.32 = 214,141.44 : x
  2. Step 2: Convert to fraction form
    382,381.80/573,649.32 = 214,141.44/x
  3. Step 3: Cross multiply
    382,381.80x = 573,649.32 × 214,141.44
  4. Step 4: Simplify right side
    382,381.80x = 122,842,091,439.82
  5. Step 5: Solve for x
    x = 122,842,091,439.82/382,381.80
  6. Step 6: Final answer
    x = 321,255.07

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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.