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Finding the Fourth Proportional to 355,729.64, 491,072.34 and 210,489.76

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Solution

The fourth proportional to 355,729.64, 491,072.34 and 210,489.76 is: 290,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,729.64 : 491,072.34 = 210,489.76 : x
  2. Step 2: Convert to fraction form
    355,729.64/491,072.34 = 210,489.76/x
  3. Step 3: Cross multiply
    355,729.64x = 491,072.34 × 210,489.76
  4. Step 4: Simplify right side
    355,729.64x = 103,365,698,989.24
  5. Step 5: Solve for x
    x = 103,365,698,989.24/355,729.64
  6. Step 6: Final answer
    x = 290,573.76

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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.