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Finding the Fourth Proportional to 274,054.72, 378,256.52 and 166,602

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Solution

The fourth proportional to 274,054.72, 378,256.52 and 166,602 is: 229,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,054.72 : 378,256.52 = 166,602 : x
  2. Step 2: Convert to fraction form
    274,054.72/378,256.52 = 166,602/x
  3. Step 3: Cross multiply
    274,054.72x = 378,256.52 × 166,602
  4. Step 4: Simplify right side
    274,054.72x = 63,018,292,745.04
  5. Step 5: Solve for x
    x = 63,018,292,745.04/274,054.72
  6. Step 6: Final answer
    x = 229,947.85

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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.