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Finding the Fourth Proportional to 419,720.59, 579,197.55 and 228,729.88

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Solution

The fourth proportional to 419,720.59, 579,197.55 and 228,729.88 is: 315,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,720.59 : 579,197.55 = 228,729.88 : x
  2. Step 2: Convert to fraction form
    419,720.59/579,197.55 = 228,729.88/x
  3. Step 3: Cross multiply
    419,720.59x = 579,197.55 × 228,729.88
  4. Step 4: Simplify right side
    419,720.59x = 132,479,786,107.79
  5. Step 5: Solve for x
    x = 132,479,786,107.79/419,720.59
  6. Step 6: Final answer
    x = 315,638.04

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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.