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Finding the Fourth Proportional to 274,599, 378,928.64 and 153,739.16

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Solution

The fourth proportional to 274,599, 378,928.64 and 153,739.16 is: 212,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,599 : 378,928.64 = 153,739.16 : x
  2. Step 2: Convert to fraction form
    274,599/378,928.64 = 153,739.16/x
  3. Step 3: Cross multiply
    274,599x = 378,928.64 × 153,739.16
  4. Step 4: Simplify right side
    274,599x = 58,256,170,813.54
  5. Step 5: Solve for x
    x = 58,256,170,813.54/274,599
  6. Step 6: Final answer
    x = 212,149.97

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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.