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Finding the Fourth Proportional to 355,392.52, 490,454.86 and 194,258.40

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Solution

The fourth proportional to 355,392.52, 490,454.86 and 194,258.40 is: 268,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,392.52 : 490,454.86 = 194,258.40 : x
  2. Step 2: Convert to fraction form
    355,392.52/490,454.86 = 194,258.40/x
  3. Step 3: Cross multiply
    355,392.52x = 490,454.86 × 194,258.40
  4. Step 4: Simplify right side
    355,392.52x = 95,274,976,375.82
  5. Step 5: Solve for x
    x = 95,274,976,375.82/355,392.52
  6. Step 6: Final answer
    x = 268,083.80

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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.