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Finding the Fourth Proportional to 780,241, 1,170,361.98 and 189,265

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Solution

The fourth proportional to 780,241, 1,170,361.98 and 189,265 is: 283,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,241 : 1,170,361.98 = 189,265 : x
  2. Step 2: Convert to fraction form
    780,241/1,170,361.98 = 189,265/x
  3. Step 3: Cross multiply
    780,241x = 1,170,361.98 × 189,265
  4. Step 4: Simplify right side
    780,241x = 221,508,560,144.70
  5. Step 5: Solve for x
    x = 221,508,560,144.70/780,241
  6. Step 6: Final answer
    x = 283,897.62

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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.