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Finding the Fourth Proportional to 469,277.64, 647,606.34 and 254,421

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Solution

The fourth proportional to 469,277.64, 647,606.34 and 254,421 is: 351,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,277.64 : 647,606.34 = 254,421 : x
  2. Step 2: Convert to fraction form
    469,277.64/647,606.34 = 254,421/x
  3. Step 3: Cross multiply
    469,277.64x = 647,606.34 × 254,421
  4. Step 4: Simplify right side
    469,277.64x = 164,764,652,629.14
  5. Step 5: Solve for x
    x = 164,764,652,629.14/469,277.64
  6. Step 6: Final answer
    x = 351,102.71

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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.