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Finding the Fourth Proportional to 268,212.33, 401,742.58 and 252,509.67

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Solution

The fourth proportional to 268,212.33, 401,742.58 and 252,509.67 is: 378,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,212.33 : 401,742.58 = 252,509.67 : x
  2. Step 2: Convert to fraction form
    268,212.33/401,742.58 = 252,509.67/x
  3. Step 3: Cross multiply
    268,212.33x = 401,742.58 × 252,509.67
  4. Step 4: Simplify right side
    268,212.33x = 101,443,886,300.75
  5. Step 5: Solve for x
    x = 101,443,886,300.75/268,212.33
  6. Step 6: Final answer
    x = 378,222.31

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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.