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Finding the Fourth Proportional to 358,205.34, 494,043.52 and 222,163

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Solution

The fourth proportional to 358,205.34, 494,043.52 and 222,163 is: 306,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,205.34 : 494,043.52 = 222,163 : x
  2. Step 2: Convert to fraction form
    358,205.34/494,043.52 = 222,163/x
  3. Step 3: Cross multiply
    358,205.34x = 494,043.52 × 222,163
  4. Step 4: Simplify right side
    358,205.34x = 109,758,190,533.76
  5. Step 5: Solve for x
    x = 109,758,190,533.76/358,205.34
  6. Step 6: Final answer
    x = 306,411.37

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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.