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Finding the Fourth Proportional to 863,843.72, 1,296,014.54 and 264,893.16

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Solution

The fourth proportional to 863,843.72, 1,296,014.54 and 264,893.16 is: 397,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,843.72 : 1,296,014.54 = 264,893.16 : x
  2. Step 2: Convert to fraction form
    863,843.72/1,296,014.54 = 264,893.16/x
  3. Step 3: Cross multiply
    863,843.72x = 1,296,014.54 × 264,893.16
  4. Step 4: Simplify right side
    863,843.72x = 343,305,386,906.55
  5. Step 5: Solve for x
    x = 343,305,386,906.55/863,843.72
  6. Step 6: Final answer
    x = 397,416.08

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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.