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Finding the Fourth Proportional to 278,978.88, 385,032.96 and 170,146.38

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Solution

The fourth proportional to 278,978.88, 385,032.96 and 170,146.38 is: 234,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,978.88 : 385,032.96 = 170,146.38 : x
  2. Step 2: Convert to fraction form
    278,978.88/385,032.96 = 170,146.38/x
  3. Step 3: Cross multiply
    278,978.88x = 385,032.96 × 170,146.38
  4. Step 4: Simplify right side
    278,978.88x = 65,511,964,324.68
  5. Step 5: Solve for x
    x = 65,511,964,324.68/278,978.88
  6. Step 6: Final answer
    x = 234,827.68

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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.