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Finding the Fourth Proportional to 358,059.98, 494,128.80 and 205,111.55

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Solution

The fourth proportional to 358,059.98, 494,128.80 and 205,111.55 is: 283,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,059.98 : 494,128.80 = 205,111.55 : x
  2. Step 2: Convert to fraction form
    358,059.98/494,128.80 = 205,111.55/x
  3. Step 3: Cross multiply
    358,059.98x = 494,128.80 × 205,111.55
  4. Step 4: Simplify right side
    358,059.98x = 101,351,520,571.44
  5. Step 5: Solve for x
    x = 101,351,520,571.44/358,059.98
  6. Step 6: Final answer
    x = 283,057.38

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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.