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Finding the Fourth Proportional to 419,780.78, 579,309.62 and 228,806.54

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Solution

The fourth proportional to 419,780.78, 579,309.62 and 228,806.54 is: 315,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,780.78 : 579,309.62 = 228,806.54 : x
  2. Step 2: Convert to fraction form
    419,780.78/579,309.62 = 228,806.54/x
  3. Step 3: Cross multiply
    419,780.78x = 579,309.62 × 228,806.54
  4. Step 4: Simplify right side
    419,780.78x = 132,549,829,740.92
  5. Step 5: Solve for x
    x = 132,549,829,740.92/419,780.78
  6. Step 6: Final answer
    x = 315,759.64

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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.