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Finding the Fourth Proportional to 278,751.88, 384,632 and 164,127.12

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Solution

The fourth proportional to 278,751.88, 384,632 and 164,127.12 is: 226,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,751.88 : 384,632 = 164,127.12 : x
  2. Step 2: Convert to fraction form
    278,751.88/384,632 = 164,127.12/x
  3. Step 3: Cross multiply
    278,751.88x = 384,632 × 164,127.12
  4. Step 4: Simplify right side
    278,751.88x = 63,128,542,419.84
  5. Step 5: Solve for x
    x = 63,128,542,419.84/278,751.88
  6. Step 6: Final answer
    x = 226,468.58

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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.