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Finding the Fourth Proportional to 286,293.96, 429,662.34 and 198,163.26

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Solution

The fourth proportional to 286,293.96, 429,662.34 and 198,163.26 is: 297,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,293.96 : 429,662.34 = 198,163.26 : x
  2. Step 2: Convert to fraction form
    286,293.96/429,662.34 = 198,163.26/x
  3. Step 3: Cross multiply
    286,293.96x = 429,662.34 × 198,163.26
  4. Step 4: Simplify right side
    286,293.96x = 85,143,289,993.63
  5. Step 5: Solve for x
    x = 85,143,289,993.63/286,293.96
  6. Step 6: Final answer
    x = 297,398.14

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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.