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Finding the Fourth Proportional to 505,762.87, 758,757.30 and 190,222.51

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Solution

The fourth proportional to 505,762.87, 758,757.30 and 190,222.51 is: 285,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,762.87 : 758,757.30 = 190,222.51 : x
  2. Step 2: Convert to fraction form
    505,762.87/758,757.30 = 190,222.51/x
  3. Step 3: Cross multiply
    505,762.87x = 758,757.30 × 190,222.51
  4. Step 4: Simplify right side
    505,762.87x = 144,332,718,086.82
  5. Step 5: Solve for x
    x = 144,332,718,086.82/505,762.87
  6. Step 6: Final answer
    x = 285,376.26

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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.