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Finding the Fourth Proportional to 298,251, 447,207.08 and 203,595.84

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Solution

The fourth proportional to 298,251, 447,207.08 and 203,595.84 is: 305,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,251 : 447,207.08 = 203,595.84 : x
  2. Step 2: Convert to fraction form
    298,251/447,207.08 = 203,595.84/x
  3. Step 3: Cross multiply
    298,251x = 447,207.08 × 203,595.84
  4. Step 4: Simplify right side
    298,251x = 91,049,501,106.55
  5. Step 5: Solve for x
    x = 91,049,501,106.55/298,251
  6. Step 6: Final answer
    x = 305,278.11

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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.