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Finding the Fourth Proportional to 726,464, 1,089,696 and 201,152

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Solution

The fourth proportional to 726,464, 1,089,696 and 201,152 is: 301,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,464 : 1,089,696 = 201,152 : x
  2. Step 2: Convert to fraction form
    726,464/1,089,696 = 201,152/x
  3. Step 3: Cross multiply
    726,464x = 1,089,696 × 201,152
  4. Step 4: Simplify right side
    726,464x = 219,194,529,792
  5. Step 5: Solve for x
    x = 219,194,529,792/726,464
  6. Step 6: Final answer
    x = 301,728

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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.