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Finding the Fourth Proportional to 282,121.40, 389,328 and 154,797.96

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Solution

The fourth proportional to 282,121.40, 389,328 and 154,797.96 is: 213,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,121.40 : 389,328 = 154,797.96 : x
  2. Step 2: Convert to fraction form
    282,121.40/389,328 = 154,797.96/x
  3. Step 3: Cross multiply
    282,121.40x = 389,328 × 154,797.96
  4. Step 4: Simplify right side
    282,121.40x = 60,267,180,170.88
  5. Step 5: Solve for x
    x = 60,267,180,170.88/282,121.40
  6. Step 6: Final answer
    x = 213,621.44

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1.5x scale

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.