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Finding the Fourth Proportional to 421,213.62, 631,465 and 196,455.62

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Solution

The fourth proportional to 421,213.62, 631,465 and 196,455.62 is: 294,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,213.62 : 631,465 = 196,455.62 : x
  2. Step 2: Convert to fraction form
    421,213.62/631,465 = 196,455.62/x
  3. Step 3: Cross multiply
    421,213.62x = 631,465 × 196,455.62
  4. Step 4: Simplify right side
    421,213.62x = 124,054,848,083.30
  5. Step 5: Solve for x
    x = 124,054,848,083.30/421,213.62
  6. Step 6: Final answer
    x = 294,517.66

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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.