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Finding the Fourth Proportional to 298,202.70, 447,150.80 and 87,813.30

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Solution

The fourth proportional to 298,202.70, 447,150.80 and 87,813.30 is: 131,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,202.70 : 447,150.80 = 87,813.30 : x
  2. Step 2: Convert to fraction form
    298,202.70/447,150.80 = 87,813.30/x
  3. Step 3: Cross multiply
    298,202.70x = 447,150.80 × 87,813.30
  4. Step 4: Simplify right side
    298,202.70x = 39,265,787,345.64
  5. Step 5: Solve for x
    x = 39,265,787,345.64/298,202.70
  6. Step 6: Final answer
    x = 131,674.82

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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.