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Finding the Fourth Proportional to 1,089,696, 1,634,544 and 301,728

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Solution

The fourth proportional to 1,089,696, 1,634,544 and 301,728 is: 452,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,696 : 1,634,544 = 301,728 : x
  2. Step 2: Convert to fraction form
    1,089,696/1,634,544 = 301,728/x
  3. Step 3: Cross multiply
    1,089,696x = 1,634,544 × 301,728
  4. Step 4: Simplify right side
    1,089,696x = 493,187,692,032
  5. Step 5: Solve for x
    x = 493,187,692,032/1,089,696
  6. Step 6: Final answer
    x = 452,592

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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.