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Finding the Fourth Proportional to 382,648.20, 573,972.30 and 214,686.60

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Solution

The fourth proportional to 382,648.20, 573,972.30 and 214,686.60 is: 322,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,648.20 : 573,972.30 = 214,686.60 : x
  2. Step 2: Convert to fraction form
    382,648.20/573,972.30 = 214,686.60/x
  3. Step 3: Cross multiply
    382,648.20x = 573,972.30 × 214,686.60
  4. Step 4: Simplify right side
    382,648.20x = 123,224,161,581.18
  5. Step 5: Solve for x
    x = 123,224,161,581.18/382,648.20
  6. Step 6: Final answer
    x = 322,029.90

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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.