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Finding the Fourth Proportional to 231,485.77, 319,342.46 and 149,840.37

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Solution

The fourth proportional to 231,485.77, 319,342.46 and 149,840.37 is: 206,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,485.77 : 319,342.46 = 149,840.37 : x
  2. Step 2: Convert to fraction form
    231,485.77/319,342.46 = 149,840.37/x
  3. Step 3: Cross multiply
    231,485.77x = 319,342.46 × 149,840.37
  4. Step 4: Simplify right side
    231,485.77x = 47,850,391,270.19
  5. Step 5: Solve for x
    x = 47,850,391,270.19/231,485.77
  6. Step 6: Final answer
    x = 206,709.86

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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.