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Finding the Fourth Proportional to 419,720.56, 579,197.52 and 228,729.92

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Solution

The fourth proportional to 419,720.56, 579,197.52 and 228,729.92 is: 315,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,720.56 : 579,197.52 = 228,729.92 : x
  2. Step 2: Convert to fraction form
    419,720.56/579,197.52 = 228,729.92/x
  3. Step 3: Cross multiply
    419,720.56x = 579,197.52 × 228,729.92
  4. Step 4: Simplify right side
    419,720.56x = 132,479,802,413.80
  5. Step 5: Solve for x
    x = 132,479,802,413.80/419,720.56
  6. Step 6: Final answer
    x = 315,638.11

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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.