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Finding the Fourth Proportional to 297,002.40, 445,503.60 and 197,296.80

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Solution

The fourth proportional to 297,002.40, 445,503.60 and 197,296.80 is: 295,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.40 : 445,503.60 = 197,296.80 : x
  2. Step 2: Convert to fraction form
    297,002.40/445,503.60 = 197,296.80/x
  3. Step 3: Cross multiply
    297,002.40x = 445,503.60 × 197,296.80
  4. Step 4: Simplify right side
    297,002.40x = 87,896,434,668.48
  5. Step 5: Solve for x
    x = 87,896,434,668.48/297,002.40
  6. Step 6: Final answer
    x = 295,945.20

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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.