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Finding the Fourth Proportional to 451,268.70, 622,711.71 and 257,675.46

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Solution

The fourth proportional to 451,268.70, 622,711.71 and 257,675.46 is: 355,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,268.70 : 622,711.71 = 257,675.46 : x
  2. Step 2: Convert to fraction form
    451,268.70/622,711.71 = 257,675.46/x
  3. Step 3: Cross multiply
    451,268.70x = 622,711.71 × 257,675.46
  4. Step 4: Simplify right side
    451,268.70x = 160,457,526,321.64
  5. Step 5: Solve for x
    x = 160,457,526,321.64/451,268.70
  6. Step 6: Final answer
    x = 355,569.81

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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.