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Finding the Fourth Proportional to 297,487.04, 410,388 and 196,969.28

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Solution

The fourth proportional to 297,487.04, 410,388 and 196,969.28 is: 271,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,487.04 : 410,388 = 196,969.28 : x
  2. Step 2: Convert to fraction form
    297,487.04/410,388 = 196,969.28/x
  3. Step 3: Cross multiply
    297,487.04x = 410,388 × 196,969.28
  4. Step 4: Simplify right side
    297,487.04x = 80,833,828,880.64
  5. Step 5: Solve for x
    x = 80,833,828,880.64/297,487.04
  6. Step 6: Final answer
    x = 271,722.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.