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Finding the Fourth Proportional to 298,979.80, 448,469.70 and 282,650.20

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Solution

The fourth proportional to 298,979.80, 448,469.70 and 282,650.20 is: 423,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,979.80 : 448,469.70 = 282,650.20 : x
  2. Step 2: Convert to fraction form
    298,979.80/448,469.70 = 282,650.20/x
  3. Step 3: Cross multiply
    298,979.80x = 448,469.70 × 282,650.20
  4. Step 4: Simplify right side
    298,979.80x = 126,760,050,398.94
  5. Step 5: Solve for x
    x = 126,760,050,398.94/298,979.80
  6. Step 6: Final answer
    x = 423,975.30

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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.