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Finding the Fourth Proportional to 298,667.20, 447,344.70 and 259,301.20

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Solution

The fourth proportional to 298,667.20, 447,344.70 and 259,301.20 is: 388,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,667.20 : 447,344.70 = 259,301.20 : x
  2. Step 2: Convert to fraction form
    298,667.20/447,344.70 = 259,301.20/x
  3. Step 3: Cross multiply
    298,667.20x = 447,344.70 × 259,301.20
  4. Step 4: Simplify right side
    298,667.20x = 115,997,017,523.64
  5. Step 5: Solve for x
    x = 115,997,017,523.64/298,667.20
  6. Step 6: Final answer
    x = 388,382.18

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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.