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Finding the Fourth Proportional to 536,643.88, 804,993.39 and 137,288.12

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Solution

The fourth proportional to 536,643.88, 804,993.39 and 137,288.12 is: 205,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,643.88 : 804,993.39 = 137,288.12 : x
  2. Step 2: Convert to fraction form
    536,643.88/804,993.39 = 137,288.12/x
  3. Step 3: Cross multiply
    536,643.88x = 804,993.39 × 137,288.12
  4. Step 4: Simplify right side
    536,643.88x = 110,516,025,100.56
  5. Step 5: Solve for x
    x = 110,516,025,100.56/536,643.88
  6. Step 6: Final answer
    x = 205,939.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.