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Finding the Fourth Proportional to 367,707.21, 507,408.69 and 206,589.12

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Solution

The fourth proportional to 367,707.21, 507,408.69 and 206,589.12 is: 285,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,707.21 : 507,408.69 = 206,589.12 : x
  2. Step 2: Convert to fraction form
    367,707.21/507,408.69 = 206,589.12/x
  3. Step 3: Cross multiply
    367,707.21x = 507,408.69 × 206,589.12
  4. Step 4: Simplify right side
    367,707.21x = 104,825,114,747.45
  5. Step 5: Solve for x
    x = 104,825,114,747.45/367,707.21
  6. Step 6: Final answer
    x = 285,077.67

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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.