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Finding the Fourth Proportional to 282,180.54, 389,420.37 and 154,860.72

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Solution

The fourth proportional to 282,180.54, 389,420.37 and 154,860.72 is: 213,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,180.54 : 389,420.37 = 154,860.72 : x
  2. Step 2: Convert to fraction form
    282,180.54/389,420.37 = 154,860.72/x
  3. Step 3: Cross multiply
    282,180.54x = 389,420.37 × 154,860.72
  4. Step 4: Simplify right side
    282,180.54x = 60,305,918,880.87
  5. Step 5: Solve for x
    x = 60,305,918,880.87/282,180.54
  6. Step 6: Final answer
    x = 213,713.95

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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.