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Finding the Fourth Proportional to 298,002.40, 447,003.60 and 197,837.80

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Solution

The fourth proportional to 298,002.40, 447,003.60 and 197,837.80 is: 296,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.40 : 447,003.60 = 197,837.80 : x
  2. Step 2: Convert to fraction form
    298,002.40/447,003.60 = 197,837.80/x
  3. Step 3: Cross multiply
    298,002.40x = 447,003.60 × 197,837.80
  4. Step 4: Simplify right side
    298,002.40x = 88,434,208,816.08
  5. Step 5: Solve for x
    x = 88,434,208,816.08/298,002.40
  6. Step 6: Final answer
    x = 296,756.70

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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.