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Finding the Fourth Proportional to 419,729.68, 579,210 and 228,738.96

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Solution

The fourth proportional to 419,729.68, 579,210 and 228,738.96 is: 315,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,729.68 : 579,210 = 228,738.96 : x
  2. Step 2: Convert to fraction form
    419,729.68/579,210 = 228,738.96/x
  3. Step 3: Cross multiply
    419,729.68x = 579,210 × 228,738.96
  4. Step 4: Simplify right side
    419,729.68x = 132,487,893,021.60
  5. Step 5: Solve for x
    x = 132,487,893,021.60/419,729.68
  6. Step 6: Final answer
    x = 315,650.52

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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.