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Finding the Fourth Proportional to 275,804.74, 380,610.57 and 154,946.02

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Solution

The fourth proportional to 275,804.74, 380,610.57 and 154,946.02 is: 213,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,804.74 : 380,610.57 = 154,946.02 : x
  2. Step 2: Convert to fraction form
    275,804.74/380,610.57 = 154,946.02/x
  3. Step 3: Cross multiply
    275,804.74x = 380,610.57 × 154,946.02
  4. Step 4: Simplify right side
    275,804.74x = 58,974,092,991.43
  5. Step 5: Solve for x
    x = 58,974,092,991.43/275,804.74
  6. Step 6: Final answer
    x = 213,825.52

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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.