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Finding the Fourth Proportional to 512,072.21, 706,606.06 and 282,625.27

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Solution

The fourth proportional to 512,072.21, 706,606.06 and 282,625.27 is: 389,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,072.21 : 706,606.06 = 282,625.27 : x
  2. Step 2: Convert to fraction form
    512,072.21/706,606.06 = 282,625.27/x
  3. Step 3: Cross multiply
    512,072.21x = 706,606.06 × 282,625.27
  4. Step 4: Simplify right side
    512,072.21x = 199,704,728,491.14
  5. Step 5: Solve for x
    x = 199,704,728,491.14/512,072.21
  6. Step 6: Final answer
    x = 389,993.30

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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.