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Finding the Fourth Proportional to 355,838.44, 490,976.76 and 212,570.50

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Solution

The fourth proportional to 355,838.44, 490,976.76 and 212,570.50 is: 293,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,838.44 : 490,976.76 = 212,570.50 : x
  2. Step 2: Convert to fraction form
    355,838.44/490,976.76 = 212,570.50/x
  3. Step 3: Cross multiply
    355,838.44x = 490,976.76 × 212,570.50
  4. Step 4: Simplify right side
    355,838.44x = 104,367,175,361.58
  5. Step 5: Solve for x
    x = 104,367,175,361.58/355,838.44
  6. Step 6: Final answer
    x = 293,299.33

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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.