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Finding the Fourth Proportional to 205,731.20, 308,013.60 and 182,403.20

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Solution

The fourth proportional to 205,731.20, 308,013.60 and 182,403.20 is: 273,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,731.20 : 308,013.60 = 182,403.20 : x
  2. Step 2: Convert to fraction form
    205,731.20/308,013.60 = 182,403.20/x
  3. Step 3: Cross multiply
    205,731.20x = 308,013.60 × 182,403.20
  4. Step 4: Simplify right side
    205,731.20x = 56,182,666,283.52
  5. Step 5: Solve for x
    x = 56,182,666,283.52/205,731.20
  6. Step 6: Final answer
    x = 273,087.73

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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.