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Finding the Fourth Proportional to 298,914.20, 447,715.20 and 259,548.20

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Solution

The fourth proportional to 298,914.20, 447,715.20 and 259,548.20 is: 388,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,914.20 : 447,715.20 = 259,548.20 : x
  2. Step 2: Convert to fraction form
    298,914.20/447,715.20 = 259,548.20/x
  3. Step 3: Cross multiply
    298,914.20x = 447,715.20 × 259,548.20
  4. Step 4: Simplify right side
    298,914.20x = 116,203,674,272.64
  5. Step 5: Solve for x
    x = 116,203,674,272.64/298,914.20
  6. Step 6: Final answer
    x = 388,752.61

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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.