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Finding the Fourth Proportional to 289,902.90, 400,065.24 and 162,581.23

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Solution

The fourth proportional to 289,902.90, 400,065.24 and 162,581.23 is: 224,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.90 : 400,065.24 = 162,581.23 : x
  2. Step 2: Convert to fraction form
    289,902.90/400,065.24 = 162,581.23/x
  3. Step 3: Cross multiply
    289,902.90x = 400,065.24 × 162,581.23
  4. Step 4: Simplify right side
    289,902.90x = 65,043,098,799.45
  5. Step 5: Solve for x
    x = 65,043,098,799.45/289,902.90
  6. Step 6: Final answer
    x = 224,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.