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Finding the Fourth Proportional to 419,881.47, 579,435.93 and 228,894.86

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Solution

The fourth proportional to 419,881.47, 579,435.93 and 228,894.86 is: 315,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,881.47 : 579,435.93 = 228,894.86 : x
  2. Step 2: Convert to fraction form
    419,881.47/579,435.93 = 228,894.86/x
  3. Step 3: Cross multiply
    419,881.47x = 579,435.93 × 228,894.86
  4. Step 4: Simplify right side
    419,881.47x = 132,629,907,524.91
  5. Step 5: Solve for x
    x = 132,629,907,524.91/419,881.47
  6. Step 6: Final answer
    x = 315,874.64

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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.