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Finding the Fourth Proportional to 547,905.86, 821,859.09 and 359,557.78

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Solution

The fourth proportional to 547,905.86, 821,859.09 and 359,557.78 is: 539,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,905.86 : 821,859.09 = 359,557.78 : x
  2. Step 2: Convert to fraction form
    547,905.86/821,859.09 = 359,557.78/x
  3. Step 3: Cross multiply
    547,905.86x = 821,859.09 × 359,557.78
  4. Step 4: Simplify right side
    547,905.86x = 295,505,825,763.93
  5. Step 5: Solve for x
    x = 295,505,825,763.93/547,905.86
  6. Step 6: Final answer
    x = 539,336.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.