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Finding the Fourth Proportional to 298,003.40, 447,005.10 and 197,838.80

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Solution

The fourth proportional to 298,003.40, 447,005.10 and 197,838.80 is: 296,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,003.40 : 447,005.10 = 197,838.80 : x
  2. Step 2: Convert to fraction form
    298,003.40/447,005.10 = 197,838.80/x
  3. Step 3: Cross multiply
    298,003.40x = 447,005.10 × 197,838.80
  4. Step 4: Simplify right side
    298,003.40x = 88,434,952,577.88
  5. Step 5: Solve for x
    x = 88,434,952,577.88/298,003.40
  6. Step 6: Final answer
    x = 296,758.20

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1.5x scale

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.