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Finding the Fourth Proportional to 505,263.43, 757,236.97 and 205,393.74

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Solution

The fourth proportional to 505,263.43, 757,236.97 and 205,393.74 is: 307,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,263.43 : 757,236.97 = 205,393.74 : x
  2. Step 2: Convert to fraction form
    505,263.43/757,236.97 = 205,393.74/x
  3. Step 3: Cross multiply
    505,263.43x = 757,236.97 × 205,393.74
  4. Step 4: Simplify right side
    505,263.43x = 155,531,733,334.57
  5. Step 5: Solve for x
    x = 155,531,733,334.57/505,263.43
  6. Step 6: Final answer
    x = 307,823.06

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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.