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Finding the Fourth Proportional to 415,317.20, 622,745.40 and 165,717.20

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Solution

The fourth proportional to 415,317.20, 622,745.40 and 165,717.20 is: 248,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,317.20 : 622,745.40 = 165,717.20 : x
  2. Step 2: Convert to fraction form
    415,317.20/622,745.40 = 165,717.20/x
  3. Step 3: Cross multiply
    415,317.20x = 622,745.40 × 165,717.20
  4. Step 4: Simplify right side
    415,317.20x = 103,199,624,000.88
  5. Step 5: Solve for x
    x = 103,199,624,000.88/415,317.20
  6. Step 6: Final answer
    x = 248,483.87

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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.