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Finding the Fourth Proportional to 416,654.78, 624,997.56 and 214,196.66

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Solution

The fourth proportional to 416,654.78, 624,997.56 and 214,196.66 is: 321,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,654.78 : 624,997.56 = 214,196.66 : x
  2. Step 2: Convert to fraction form
    416,654.78/624,997.56 = 214,196.66/x
  3. Step 3: Cross multiply
    416,654.78x = 624,997.56 × 214,196.66
  4. Step 4: Simplify right side
    416,654.78x = 133,872,389,860.15
  5. Step 5: Solve for x
    x = 133,872,389,860.15/416,654.78
  6. Step 6: Final answer
    x = 321,302.90

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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.