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Finding the Fourth Proportional to 231,708.73, 319,485.61 and 185,731.61

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Solution

The fourth proportional to 231,708.73, 319,485.61 and 185,731.61 is: 256,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,708.73 : 319,485.61 = 185,731.61 : x
  2. Step 2: Convert to fraction form
    231,708.73/319,485.61 = 185,731.61/x
  3. Step 3: Cross multiply
    231,708.73x = 319,485.61 × 185,731.61
  4. Step 4: Simplify right side
    231,708.73x = 59,338,576,717.13
  5. Step 5: Solve for x
    x = 59,338,576,717.13/231,708.73
  6. Step 6: Final answer
    x = 256,091.24

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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.