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Finding the Fourth Proportional to 313,996.70, 471,023.85 and 103,635.10

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Solution

The fourth proportional to 313,996.70, 471,023.85 and 103,635.10 is: 155,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,996.70 : 471,023.85 = 103,635.10 : x
  2. Step 2: Convert to fraction form
    313,996.70/471,023.85 = 103,635.10/x
  3. Step 3: Cross multiply
    313,996.70x = 471,023.85 × 103,635.10
  4. Step 4: Simplify right side
    313,996.70x = 48,814,603,797.14
  5. Step 5: Solve for x
    x = 48,814,603,797.14/313,996.70
  6. Step 6: Final answer
    x = 155,462.16

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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.