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Finding the Fourth Proportional to 496,729.76, 685,468.04 and 281,857.01

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Solution

The fourth proportional to 496,729.76, 685,468.04 and 281,857.01 is: 388,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,729.76 : 685,468.04 = 281,857.01 : x
  2. Step 2: Convert to fraction form
    496,729.76/685,468.04 = 281,857.01/x
  3. Step 3: Cross multiply
    496,729.76x = 685,468.04 × 281,857.01
  4. Step 4: Simplify right side
    496,729.76x = 193,203,967,368.34
  5. Step 5: Solve for x
    x = 193,203,967,368.34/496,729.76
  6. Step 6: Final answer
    x = 388,951.87

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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.