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Finding the Fourth Proportional to 419,770.80, 579,296.34 and 228,796.56

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Solution

The fourth proportional to 419,770.80, 579,296.34 and 228,796.56 is: 315,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.80 : 579,296.34 = 228,796.56 : x
  2. Step 2: Convert to fraction form
    419,770.80/579,296.34 = 228,796.56/x
  3. Step 3: Cross multiply
    419,770.80x = 579,296.34 × 228,796.56
  4. Step 4: Simplify right side
    419,770.80x = 132,541,009,812.59
  5. Step 5: Solve for x
    x = 132,541,009,812.59/419,770.80
  6. Step 6: Final answer
    x = 315,746.14

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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.