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Finding the Fourth Proportional to 382,448.78, 573,414.36 and 214,085.32

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Solution

The fourth proportional to 382,448.78, 573,414.36 and 214,085.32 is: 320,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,448.78 : 573,414.36 = 214,085.32 : x
  2. Step 2: Convert to fraction form
    382,448.78/573,414.36 = 214,085.32/x
  3. Step 3: Cross multiply
    382,448.78x = 573,414.36 × 214,085.32
  4. Step 4: Simplify right side
    382,448.78x = 122,759,594,516.84
  5. Step 5: Solve for x
    x = 122,759,594,516.84/382,448.78
  6. Step 6: Final answer
    x = 320,983.10

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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.