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Finding the Fourth Proportional to 355,891.07, 491,163.09 and 212,648.06

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Solution

The fourth proportional to 355,891.07, 491,163.09 and 212,648.06 is: 293,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,891.07 : 491,163.09 = 212,648.06 : x
  2. Step 2: Convert to fraction form
    355,891.07/491,163.09 = 212,648.06/x
  3. Step 3: Cross multiply
    355,891.07x = 491,163.09 × 212,648.06
  4. Step 4: Simplify right side
    355,891.07x = 104,444,878,232.11
  5. Step 5: Solve for x
    x = 104,444,878,232.11/355,891.07
  6. Step 6: Final answer
    x = 293,474.29

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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.