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Finding the Fourth Proportional to 382,975.88, 574,064.49 and 214,248.83

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Solution

The fourth proportional to 382,975.88, 574,064.49 and 214,248.83 is: 321,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,975.88 : 574,064.49 = 214,248.83 : x
  2. Step 2: Convert to fraction form
    382,975.88/574,064.49 = 214,248.83/x
  3. Step 3: Cross multiply
    382,975.88x = 574,064.49 × 214,248.83
  4. Step 4: Simplify right side
    382,975.88x = 122,992,645,327.05
  5. Step 5: Solve for x
    x = 122,992,645,327.05/382,975.88
  6. Step 6: Final answer
    x = 321,149.85

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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.