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Finding the Fourth Proportional to 492,462.70, 738,147.30 and 192,843.70

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Solution

The fourth proportional to 492,462.70, 738,147.30 and 192,843.70 is: 289,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,462.70 : 738,147.30 = 192,843.70 : x
  2. Step 2: Convert to fraction form
    492,462.70/738,147.30 = 192,843.70/x
  3. Step 3: Cross multiply
    492,462.70x = 738,147.30 × 192,843.70
  4. Step 4: Simplify right side
    492,462.70x = 142,347,056,477.01
  5. Step 5: Solve for x
    x = 142,347,056,477.01/492,462.70
  6. Step 6: Final answer
    x = 289,051.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.