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Finding the Fourth Proportional to 419,774.80, 579,301.86 and 228,800.56

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Solution

The fourth proportional to 419,774.80, 579,301.86 and 228,800.56 is: 315,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,774.80 : 579,301.86 = 228,800.56 : x
  2. Step 2: Convert to fraction form
    419,774.80/579,301.86 = 228,800.56/x
  3. Step 3: Cross multiply
    419,774.80x = 579,301.86 × 228,800.56
  4. Step 4: Simplify right side
    419,774.80x = 132,544,589,977.04
  5. Step 5: Solve for x
    x = 132,544,589,977.04/419,774.80
  6. Step 6: Final answer
    x = 315,751.66

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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.