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Finding the Fourth Proportional to 297,871.40, 447,025.80 and 197,998.40

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Solution

The fourth proportional to 297,871.40, 447,025.80 and 197,998.40 is: 297,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,871.40 : 447,025.80 = 197,998.40 : x
  2. Step 2: Convert to fraction form
    297,871.40/447,025.80 = 197,998.40/x
  3. Step 3: Cross multiply
    297,871.40x = 447,025.80 × 197,998.40
  4. Step 4: Simplify right side
    297,871.40x = 88,510,393,158.72
  5. Step 5: Solve for x
    x = 88,510,393,158.72/297,871.40
  6. Step 6: Final answer
    x = 297,142.97

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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.