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Finding the Fourth Proportional to 374,581.56, 561,857.37 and 206,435.28

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Solution

The fourth proportional to 374,581.56, 561,857.37 and 206,435.28 is: 309,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,581.56 : 561,857.37 = 206,435.28 : x
  2. Step 2: Convert to fraction form
    374,581.56/561,857.37 = 206,435.28/x
  3. Step 3: Cross multiply
    374,581.56x = 561,857.37 × 206,435.28
  4. Step 4: Simplify right side
    374,581.56x = 115,987,183,496.01
  5. Step 5: Solve for x
    x = 115,987,183,496.01/374,581.56
  6. Step 6: Final answer
    x = 309,644.67

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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.