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Finding the Fourth Proportional to 500,783.78, 691,080.66 and 271,347.27

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Solution

The fourth proportional to 500,783.78, 691,080.66 and 271,347.27 is: 374,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,783.78 : 691,080.66 = 271,347.27 : x
  2. Step 2: Convert to fraction form
    500,783.78/691,080.66 = 271,347.27/x
  3. Step 3: Cross multiply
    500,783.78x = 691,080.66 × 271,347.27
  4. Step 4: Simplify right side
    500,783.78x = 187,522,850,440.80
  5. Step 5: Solve for x
    x = 187,522,850,440.80/500,783.78
  6. Step 6: Final answer
    x = 374,458.72

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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.