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Finding the Fourth Proportional to 282,272.80, 389,540.88 and 154,960

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Solution

The fourth proportional to 282,272.80, 389,540.88 and 154,960 is: 213,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,272.80 : 389,540.88 = 154,960 : x
  2. Step 2: Convert to fraction form
    282,272.80/389,540.88 = 154,960/x
  3. Step 3: Cross multiply
    282,272.80x = 389,540.88 × 154,960
  4. Step 4: Simplify right side
    282,272.80x = 60,363,254,764.80
  5. Step 5: Solve for x
    x = 60,363,254,764.80/282,272.80
  6. Step 6: Final answer
    x = 213,847.22

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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.