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Finding the Fourth Proportional to 297,843.40, 446,765.10 and 198,137.80

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Solution

The fourth proportional to 297,843.40, 446,765.10 and 198,137.80 is: 297,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,843.40 : 446,765.10 = 198,137.80 : x
  2. Step 2: Convert to fraction form
    297,843.40/446,765.10 = 198,137.80/x
  3. Step 3: Cross multiply
    297,843.40x = 446,765.10 × 198,137.80
  4. Step 4: Simplify right side
    297,843.40x = 88,521,054,030.78
  5. Step 5: Solve for x
    x = 88,521,054,030.78/297,843.40
  6. Step 6: Final answer
    x = 297,206.70

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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.