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Finding the Fourth Proportional to 312,028.64, 430,652.34 and 181,185.90

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Solution

The fourth proportional to 312,028.64, 430,652.34 and 181,185.90 is: 250,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,028.64 : 430,652.34 = 181,185.90 : x
  2. Step 2: Convert to fraction form
    312,028.64/430,652.34 = 181,185.90/x
  3. Step 3: Cross multiply
    312,028.64x = 430,652.34 × 181,185.90
  4. Step 4: Simplify right side
    312,028.64x = 78,028,131,810.01
  5. Step 5: Solve for x
    x = 78,028,131,810.01/312,028.64
  6. Step 6: Final answer
    x = 250,067.21

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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.