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Finding the Fourth Proportional to 419,262.60, 578,592.78 and 228,286.46

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Solution

The fourth proportional to 419,262.60, 578,592.78 and 228,286.46 is: 315,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,262.60 : 578,592.78 = 228,286.46 : x
  2. Step 2: Convert to fraction form
    419,262.60/578,592.78 = 228,286.46/x
  3. Step 3: Cross multiply
    419,262.60x = 578,592.78 × 228,286.46
  4. Step 4: Simplify right side
    419,262.60x = 132,084,897,527.76
  5. Step 5: Solve for x
    x = 132,084,897,527.76/419,262.60
  6. Step 6: Final answer
    x = 315,040.97

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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.