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Finding the Fourth Proportional to 418,830.72, 628,246.08 and 197,232

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Solution

The fourth proportional to 418,830.72, 628,246.08 and 197,232 is: 295,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,830.72 : 628,246.08 = 197,232 : x
  2. Step 2: Convert to fraction form
    418,830.72/628,246.08 = 197,232/x
  3. Step 3: Cross multiply
    418,830.72x = 628,246.08 × 197,232
  4. Step 4: Simplify right side
    418,830.72x = 123,910,230,850.56
  5. Step 5: Solve for x
    x = 123,910,230,850.56/418,830.72
  6. Step 6: Final answer
    x = 295,848

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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.