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Finding the Fourth Proportional to 780,098, 1,170,147 and 189,122

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Solution

The fourth proportional to 780,098, 1,170,147 and 189,122 is: 283,683

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,098 : 1,170,147 = 189,122 : x
  2. Step 2: Convert to fraction form
    780,098/1,170,147 = 189,122/x
  3. Step 3: Cross multiply
    780,098x = 1,170,147 × 189,122
  4. Step 4: Simplify right side
    780,098x = 221,300,540,934
  5. Step 5: Solve for x
    x = 221,300,540,934/780,098
  6. Step 6: Final answer
    x = 283,683

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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.