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Finding the Fourth Proportional to 298,640.40, 447,442.20 and 193,405.20

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Solution

The fourth proportional to 298,640.40, 447,442.20 and 193,405.20 is: 289,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,640.40 : 447,442.20 = 193,405.20 : x
  2. Step 2: Convert to fraction form
    298,640.40/447,442.20 = 193,405.20/x
  3. Step 3: Cross multiply
    298,640.40x = 447,442.20 × 193,405.20
  4. Step 4: Simplify right side
    298,640.40x = 86,537,648,179.44
  5. Step 5: Solve for x
    x = 86,537,648,179.44/298,640.40
  6. Step 6: Final answer
    x = 289,772.07

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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.