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Finding the Fourth Proportional to 297,005.40, 445,143.60 and 202,235.40

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Solution

The fourth proportional to 297,005.40, 445,143.60 and 202,235.40 is: 303,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,005.40 : 445,143.60 = 202,235.40 : x
  2. Step 2: Convert to fraction form
    297,005.40/445,143.60 = 202,235.40/x
  3. Step 3: Cross multiply
    297,005.40x = 445,143.60 × 202,235.40
  4. Step 4: Simplify right side
    297,005.40x = 90,023,794,003.44
  5. Step 5: Solve for x
    x = 90,023,794,003.44/297,005.40
  6. Step 6: Final answer
    x = 303,104.91

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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.