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Finding the Fourth Proportional to 275,580.52, 380,271.74 and 154,735

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Solution

The fourth proportional to 275,580.52, 380,271.74 and 154,735 is: 213,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,580.52 : 380,271.74 = 154,735 : x
  2. Step 2: Convert to fraction form
    275,580.52/380,271.74 = 154,735/x
  3. Step 3: Cross multiply
    275,580.52x = 380,271.74 × 154,735
  4. Step 4: Simplify right side
    275,580.52x = 58,841,347,688.90
  5. Step 5: Solve for x
    x = 58,841,347,688.90/275,580.52
  6. Step 6: Final answer
    x = 213,517.80

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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.