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Finding the Fourth Proportional to 282,018.75, 389,185.88 and 154,694.64

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Solution

The fourth proportional to 282,018.75, 389,185.88 and 154,694.64 is: 213,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,018.75 : 389,185.88 = 154,694.64 : x
  2. Step 2: Convert to fraction form
    282,018.75/389,185.88 = 154,694.64/x
  3. Step 3: Cross multiply
    282,018.75x = 389,185.88 × 154,694.64
  4. Step 4: Simplify right side
    282,018.75x = 60,204,968,826.21
  5. Step 5: Solve for x
    x = 60,204,968,826.21/282,018.75
  6. Step 6: Final answer
    x = 213,478.60

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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.