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Finding the Fourth Proportional to 282,339.60, 389,629.31 and 155,023.40

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Solution

The fourth proportional to 282,339.60, 389,629.31 and 155,023.40 is: 213,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,339.60 : 389,629.31 = 155,023.40 : x
  2. Step 2: Convert to fraction form
    282,339.60/389,629.31 = 155,023.40/x
  3. Step 3: Cross multiply
    282,339.60x = 389,629.31 × 155,023.40
  4. Step 4: Simplify right side
    282,339.60x = 60,401,660,375.85
  5. Step 5: Solve for x
    x = 60,401,660,375.85/282,339.60
  6. Step 6: Final answer
    x = 213,932.66

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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.