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Finding the Fourth Proportional to 780,608, 1,170,914.88 and 189,632

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Solution

The fourth proportional to 780,608, 1,170,914.88 and 189,632 is: 284,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,608 : 1,170,914.88 = 189,632 : x
  2. Step 2: Convert to fraction form
    780,608/1,170,914.88 = 189,632/x
  3. Step 3: Cross multiply
    780,608x = 1,170,914.88 × 189,632
  4. Step 4: Simplify right side
    780,608x = 222,042,930,524.16
  5. Step 5: Solve for x
    x = 222,042,930,524.16/780,608
  6. Step 6: Final answer
    x = 284,448.70

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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.