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Finding the Fourth Proportional to 298,538.10, 447,807.15 and 204,059.70

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Solution

The fourth proportional to 298,538.10, 447,807.15 and 204,059.70 is: 306,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,538.10 : 447,807.15 = 204,059.70 : x
  2. Step 2: Convert to fraction form
    298,538.10/447,807.15 = 204,059.70/x
  3. Step 3: Cross multiply
    298,538.10x = 447,807.15 × 204,059.70
  4. Step 4: Simplify right side
    298,538.10x = 91,379,392,686.86
  5. Step 5: Solve for x
    x = 91,379,392,686.86/298,538.10
  6. Step 6: Final answer
    x = 306,089.55

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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.