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Finding the Fourth Proportional to 355,493.87, 490,583.27 and 194,348.93

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Solution

The fourth proportional to 355,493.87, 490,583.27 and 194,348.93 is: 268,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,493.87 : 490,583.27 = 194,348.93 : x
  2. Step 2: Convert to fraction form
    355,493.87/490,583.27 = 194,348.93/x
  3. Step 3: Cross multiply
    355,493.87x = 490,583.27 × 194,348.93
  4. Step 4: Simplify right side
    355,493.87x = 95,344,331,633.36
  5. Step 5: Solve for x
    x = 95,344,331,633.36/355,493.87
  6. Step 6: Final answer
    x = 268,202.47

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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.