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Finding the Fourth Proportional to 282,163.82, 389,390.83 and 154,851.26

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Solution

The fourth proportional to 282,163.82, 389,390.83 and 154,851.26 is: 213,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,163.82 : 389,390.83 = 154,851.26 : x
  2. Step 2: Convert to fraction form
    282,163.82/389,390.83 = 154,851.26/x
  3. Step 3: Cross multiply
    282,163.82x = 389,390.83 × 154,851.26
  4. Step 4: Simplify right side
    282,163.82x = 60,297,658,323.86
  5. Step 5: Solve for x
    x = 60,297,658,323.86/282,163.82
  6. Step 6: Final answer
    x = 213,697.35

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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.