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Finding the Fourth Proportional to 419,443.32, 628,542.88 and 308,091

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Solution

The fourth proportional to 419,443.32, 628,542.88 and 308,091 is: 461,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,443.32 : 628,542.88 = 308,091 : x
  2. Step 2: Convert to fraction form
    419,443.32/628,542.88 = 308,091/x
  3. Step 3: Cross multiply
    419,443.32x = 628,542.88 × 308,091
  4. Step 4: Simplify right side
    419,443.32x = 193,648,404,442.08
  5. Step 5: Solve for x
    x = 193,648,404,442.08/419,443.32
  6. Step 6: Final answer
    x = 461,679.55

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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.