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Finding the Fourth Proportional to 505,759.85, 758,669 and 190,219.49

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Solution

The fourth proportional to 505,759.85, 758,669 and 190,219.49 is: 285,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,759.85 : 758,669 = 190,219.49 : x
  2. Step 2: Convert to fraction form
    505,759.85/758,669 = 190,219.49/x
  3. Step 3: Cross multiply
    505,759.85x = 758,669 × 190,219.49
  4. Step 4: Simplify right side
    505,759.85x = 144,313,630,258.81
  5. Step 5: Solve for x
    x = 144,313,630,258.81/505,759.85
  6. Step 6: Final answer
    x = 285,340.23

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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.