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Finding the Fourth Proportional to 419,817.06, 579,330.36 and 228,826.26

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Solution

The fourth proportional to 419,817.06, 579,330.36 and 228,826.26 is: 315,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,817.06 : 579,330.36 = 228,826.26 : x
  2. Step 2: Convert to fraction form
    419,817.06/579,330.36 = 228,826.26/x
  3. Step 3: Cross multiply
    419,817.06x = 579,330.36 × 228,826.26
  4. Step 4: Simplify right side
    419,817.06x = 132,565,999,583.25
  5. Step 5: Solve for x
    x = 132,565,999,583.25/419,817.06
  6. Step 6: Final answer
    x = 315,770.87

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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.