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Finding the Fourth Proportional to 809,999.60, 1,214,999.40 and 770,633.60

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Solution

The fourth proportional to 809,999.60, 1,214,999.40 and 770,633.60 is: 1,155,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,999.60 : 1,214,999.40 = 770,633.60 : x
  2. Step 2: Convert to fraction form
    809,999.60/1,214,999.40 = 770,633.60/x
  3. Step 3: Cross multiply
    809,999.60x = 1,214,999.40 × 770,633.60
  4. Step 4: Simplify right side
    809,999.60x = 936,319,361,619.84
  5. Step 5: Solve for x
    x = 936,319,361,619.84/809,999.60
  6. Step 6: Final answer
    x = 1,155,950.40

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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.