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Finding the Fourth Proportional to 543,268.28, 749,708.94 and 301,553.75

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Solution

The fourth proportional to 543,268.28, 749,708.94 and 301,553.75 is: 416,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,268.28 : 749,708.94 = 301,553.75 : x
  2. Step 2: Convert to fraction form
    543,268.28/749,708.94 = 301,553.75/x
  3. Step 3: Cross multiply
    543,268.28x = 749,708.94 × 301,553.75
  4. Step 4: Simplify right side
    543,268.28x = 226,077,542,265.53
  5. Step 5: Solve for x
    x = 226,077,542,265.53/543,268.28
  6. Step 6: Final answer
    x = 416,143.46

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1.5x scale

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.