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Finding the Fourth Proportional to 613,554.31, 920,751.84 and 214,195.07

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Solution

The fourth proportional to 613,554.31, 920,751.84 and 214,195.07 is: 321,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,554.31 : 920,751.84 = 214,195.07 : x
  2. Step 2: Convert to fraction form
    613,554.31/920,751.84 = 214,195.07/x
  3. Step 3: Cross multiply
    613,554.31x = 920,751.84 × 214,195.07
  4. Step 4: Simplify right side
    613,554.31x = 197,220,504,821.43
  5. Step 5: Solve for x
    x = 197,220,504,821.43/613,554.31
  6. Step 6: Final answer
    x = 321,439.36

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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.