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Finding the Fourth Proportional to 419,768.64, 579,263.76 and 228,777.92

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Solution

The fourth proportional to 419,768.64, 579,263.76 and 228,777.92 is: 315,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,768.64 : 579,263.76 = 228,777.92 : x
  2. Step 2: Convert to fraction form
    419,768.64/579,263.76 = 228,777.92/x
  3. Step 3: Cross multiply
    419,768.64x = 579,263.76 × 228,777.92
  4. Step 4: Simplify right side
    419,768.64x = 132,522,758,144.18
  5. Step 5: Solve for x
    x = 132,522,758,144.18/419,768.64
  6. Step 6: Final answer
    x = 315,704.28

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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.