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Finding the Fourth Proportional to 512,004.72, 706,566.96 and 285,650.28

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Solution

The fourth proportional to 512,004.72, 706,566.96 and 285,650.28 is: 394,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,004.72 : 706,566.96 = 285,650.28 : x
  2. Step 2: Convert to fraction form
    512,004.72/706,566.96 = 285,650.28/x
  3. Step 3: Cross multiply
    512,004.72x = 706,566.96 × 285,650.28
  4. Step 4: Simplify right side
    512,004.72x = 201,831,049,962.75
  5. Step 5: Solve for x
    x = 201,831,049,962.75/512,004.72
  6. Step 6: Final answer
    x = 394,197.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.