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Finding the Fourth Proportional to 313,709.44, 470,299.60 and 136,082.64

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Solution

The fourth proportional to 313,709.44, 470,299.60 and 136,082.64 is: 204,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,709.44 : 470,299.60 = 136,082.64 : x
  2. Step 2: Convert to fraction form
    313,709.44/470,299.60 = 136,082.64/x
  3. Step 3: Cross multiply
    313,709.44x = 470,299.60 × 136,082.64
  4. Step 4: Simplify right side
    313,709.44x = 63,999,611,158.94
  5. Step 5: Solve for x
    x = 63,999,611,158.94/313,709.44
  6. Step 6: Final answer
    x = 204,009.20

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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.