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Finding the Fourth Proportional to 431,297.82, 645,962.58 and 380,843.73

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Solution

The fourth proportional to 431,297.82, 645,962.58 and 380,843.73 is: 570,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,297.82 : 645,962.58 = 380,843.73 : x
  2. Step 2: Convert to fraction form
    431,297.82/645,962.58 = 380,843.73/x
  3. Step 3: Cross multiply
    431,297.82x = 645,962.58 × 380,843.73
  4. Step 4: Simplify right side
    431,297.82x = 246,010,798,407.62
  5. Step 5: Solve for x
    x = 246,010,798,407.62/431,297.82
  6. Step 6: Final answer
    x = 570,396.57

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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.