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Finding the Fourth Proportional to 496,729.14, 685,467.14 and 281,856.38

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Solution

The fourth proportional to 496,729.14, 685,467.14 and 281,856.38 is: 388,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,729.14 : 685,467.14 = 281,856.38 : x
  2. Step 2: Convert to fraction form
    496,729.14/685,467.14 = 281,856.38/x
  3. Step 3: Cross multiply
    496,729.14x = 685,467.14 × 281,856.38
  4. Step 4: Simplify right side
    496,729.14x = 193,203,286,689.35
  5. Step 5: Solve for x
    x = 193,203,286,689.35/496,729.14
  6. Step 6: Final answer
    x = 388,950.98

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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.