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Finding the Fourth Proportional to 298,464.34, 447,696.51 and 204,685.78

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Solution

The fourth proportional to 298,464.34, 447,696.51 and 204,685.78 is: 307,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,464.34 : 447,696.51 = 204,685.78 : x
  2. Step 2: Convert to fraction form
    298,464.34/447,696.51 = 204,685.78/x
  3. Step 3: Cross multiply
    298,464.34x = 447,696.51 × 204,685.78
  4. Step 4: Simplify right side
    298,464.34x = 91,637,109,352.63
  5. Step 5: Solve for x
    x = 91,637,109,352.63/298,464.34
  6. Step 6: Final answer
    x = 307,028.67

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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.