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Finding the Fourth Proportional to 419,726.50, 579,205.67 and 228,735.79

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Solution

The fourth proportional to 419,726.50, 579,205.67 and 228,735.79 is: 315,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.50 : 579,205.67 = 228,735.79 : x
  2. Step 2: Convert to fraction form
    419,726.50/579,205.67 = 228,735.79/x
  3. Step 3: Cross multiply
    419,726.50x = 579,205.67 × 228,735.79
  4. Step 4: Simplify right side
    419,726.50x = 132,485,066,499.93
  5. Step 5: Solve for x
    x = 132,485,066,499.93/419,726.50
  6. Step 6: Final answer
    x = 315,646.18

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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.