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Finding the Fourth Proportional to 298,455, 412,217.82 and 197,678.04

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Solution

The fourth proportional to 298,455, 412,217.82 and 197,678.04 is: 273,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,455 : 412,217.82 = 197,678.04 : x
  2. Step 2: Convert to fraction form
    298,455/412,217.82 = 197,678.04/x
  3. Step 3: Cross multiply
    298,455x = 412,217.82 × 197,678.04
  4. Step 4: Simplify right side
    298,455x = 81,486,410,710.67
  5. Step 5: Solve for x
    x = 81,486,410,710.67/298,455
  6. Step 6: Final answer
    x = 273,027.46

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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.