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Finding the Fourth Proportional to 263,758.95, 363,979.71 and 154,861.47

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Solution

The fourth proportional to 263,758.95, 363,979.71 and 154,861.47 is: 213,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,758.95 : 363,979.71 = 154,861.47 : x
  2. Step 2: Convert to fraction form
    263,758.95/363,979.71 = 154,861.47/x
  3. Step 3: Cross multiply
    263,758.95x = 363,979.71 × 154,861.47
  4. Step 4: Simplify right side
    263,758.95x = 56,366,432,940.77
  5. Step 5: Solve for x
    x = 56,366,432,940.77/263,758.95
  6. Step 6: Final answer
    x = 213,704.34

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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.