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Finding the Fourth Proportional to 499,611, 689,463.18 and 273,256.50

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Solution

The fourth proportional to 499,611, 689,463.18 and 273,256.50 is: 377,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,611 : 689,463.18 = 273,256.50 : x
  2. Step 2: Convert to fraction form
    499,611/689,463.18 = 273,256.50/x
  3. Step 3: Cross multiply
    499,611x = 689,463.18 × 273,256.50
  4. Step 4: Simplify right side
    499,611x = 188,400,295,445.67
  5. Step 5: Solve for x
    x = 188,400,295,445.67/499,611
  6. Step 6: Final answer
    x = 377,093.97

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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.