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Finding the Fourth Proportional to 413,615.60, 620,523.12 and 143,704.41

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Solution

The fourth proportional to 413,615.60, 620,523.12 and 143,704.41 is: 215,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615.60 : 620,523.12 = 143,704.41 : x
  2. Step 2: Convert to fraction form
    413,615.60/620,523.12 = 143,704.41/x
  3. Step 3: Cross multiply
    413,615.60x = 620,523.12 × 143,704.41
  4. Step 4: Simplify right side
    413,615.60x = 89,171,908,850.96
  5. Step 5: Solve for x
    x = 89,171,908,850.96/413,615.60
  6. Step 6: Final answer
    x = 215,591.26

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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.