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Finding the Fourth Proportional to 505,410.21, 758,295.81 and 217,100.72

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Solution

The fourth proportional to 505,410.21, 758,295.81 and 217,100.72 is: 325,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,410.21 : 758,295.81 = 217,100.72 : x
  2. Step 2: Convert to fraction form
    505,410.21/758,295.81 = 217,100.72/x
  3. Step 3: Cross multiply
    505,410.21x = 758,295.81 × 217,100.72
  4. Step 4: Simplify right side
    505,410.21x = 164,626,568,219.72
  5. Step 5: Solve for x
    x = 164,626,568,219.72/505,410.21
  6. Step 6: Final answer
    x = 325,728.62

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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.