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Finding the Fourth Proportional to 298,200.70, 447,147.80 and 87,811.30

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Solution

The fourth proportional to 298,200.70, 447,147.80 and 87,811.30 is: 131,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,200.70 : 447,147.80 = 87,811.30 : x
  2. Step 2: Convert to fraction form
    298,200.70/447,147.80 = 87,811.30/x
  3. Step 3: Cross multiply
    298,200.70x = 447,147.80 × 87,811.30
  4. Step 4: Simplify right side
    298,200.70x = 39,264,629,610.14
  5. Step 5: Solve for x
    x = 39,264,629,610.14/298,200.70
  6. Step 6: Final answer
    x = 131,671.82

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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.