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Finding the Fourth Proportional to 278,745.36, 384,669.63 and 164,028.48

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Solution

The fourth proportional to 278,745.36, 384,669.63 and 164,028.48 is: 226,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,745.36 : 384,669.63 = 164,028.48 : x
  2. Step 2: Convert to fraction form
    278,745.36/384,669.63 = 164,028.48/x
  3. Step 3: Cross multiply
    278,745.36x = 384,669.63 × 164,028.48
  4. Step 4: Simplify right side
    278,745.36x = 63,096,774,711.06
  5. Step 5: Solve for x
    x = 63,096,774,711.06/278,745.36
  6. Step 6: Final answer
    x = 226,359.91

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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.