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Finding the Fourth Proportional to 298,098.36, 446,622.66 and 280,339.92

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Solution

The fourth proportional to 298,098.36, 446,622.66 and 280,339.92 is: 420,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098.36 : 446,622.66 = 280,339.92 : x
  2. Step 2: Convert to fraction form
    298,098.36/446,622.66 = 280,339.92/x
  3. Step 3: Cross multiply
    298,098.36x = 446,622.66 × 280,339.92
  4. Step 4: Simplify right side
    298,098.36x = 125,206,160,774.59
  5. Step 5: Solve for x
    x = 125,206,160,774.59/298,098.36
  6. Step 6: Final answer
    x = 420,016.27

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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.