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Finding the Fourth Proportional to 624,643.20, 936,964.80 and 269,409.60

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Solution

The fourth proportional to 624,643.20, 936,964.80 and 269,409.60 is: 404,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,643.20 : 936,964.80 = 269,409.60 : x
  2. Step 2: Convert to fraction form
    624,643.20/936,964.80 = 269,409.60/x
  3. Step 3: Cross multiply
    624,643.20x = 936,964.80 × 269,409.60
  4. Step 4: Simplify right side
    624,643.20x = 252,427,311,982.08
  5. Step 5: Solve for x
    x = 252,427,311,982.08/624,643.20
  6. Step 6: Final answer
    x = 404,114.40

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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.