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Finding the Fourth Proportional to 505,529.88, 758,292.66 and 205,943.64

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Solution

The fourth proportional to 505,529.88, 758,292.66 and 205,943.64 is: 308,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,529.88 : 758,292.66 = 205,943.64 : x
  2. Step 2: Convert to fraction form
    505,529.88/758,292.66 = 205,943.64/x
  3. Step 3: Cross multiply
    505,529.88x = 758,292.66 × 205,943.64
  4. Step 4: Simplify right side
    505,529.88x = 156,165,550,585.68
  5. Step 5: Solve for x
    x = 156,165,550,585.68/505,529.88
  6. Step 6: Final answer
    x = 308,914.58

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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.