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Finding the Fourth Proportional to 780,612, 1,170,920.88 and 189,636

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Solution

The fourth proportional to 780,612, 1,170,920.88 and 189,636 is: 284,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,612 : 1,170,920.88 = 189,636 : x
  2. Step 2: Convert to fraction form
    780,612/1,170,920.88 = 189,636/x
  3. Step 3: Cross multiply
    780,612x = 1,170,920.88 × 189,636
  4. Step 4: Simplify right side
    780,612x = 222,048,751,999.68
  5. Step 5: Solve for x
    x = 222,048,751,999.68/780,612
  6. Step 6: Final answer
    x = 284,454.70

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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.