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Finding the Fourth Proportional to 780,012, 1,170,018 and 189,036

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Solution

The fourth proportional to 780,012, 1,170,018 and 189,036 is: 283,554

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,012 : 1,170,018 = 189,036 : x
  2. Step 2: Convert to fraction form
    780,012/1,170,018 = 189,036/x
  3. Step 3: Cross multiply
    780,012x = 1,170,018 × 189,036
  4. Step 4: Simplify right side
    780,012x = 221,175,522,648
  5. Step 5: Solve for x
    x = 221,175,522,648/780,012
  6. Step 6: Final answer
    x = 283,554

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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.