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Finding the Fourth Proportional to 298,454.14, 447,698.75 and 85,205.67

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Solution

The fourth proportional to 298,454.14, 447,698.75 and 85,205.67 is: 127,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454.14 : 447,698.75 = 85,205.67 : x
  2. Step 2: Convert to fraction form
    298,454.14/447,698.75 = 85,205.67/x
  3. Step 3: Cross multiply
    298,454.14x = 447,698.75 × 85,205.67
  4. Step 4: Simplify right side
    298,454.14x = 38,146,469,847.01
  5. Step 5: Solve for x
    x = 38,146,469,847.01/298,454.14
  6. Step 6: Final answer
    x = 127,813.50

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1.5x scale

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.