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Finding the Fourth Proportional to 276,546, 381,610.80 and 155,648.64

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Solution

The fourth proportional to 276,546, 381,610.80 and 155,648.64 is: 214,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,546 : 381,610.80 = 155,648.64 : x
  2. Step 2: Convert to fraction form
    276,546/381,610.80 = 155,648.64/x
  3. Step 3: Cross multiply
    276,546x = 381,610.80 × 155,648.64
  4. Step 4: Simplify right side
    276,546x = 59,397,202,029.31
  5. Step 5: Solve for x
    x = 59,397,202,029.31/276,546
  6. Step 6: Final answer
    x = 214,782.36

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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.