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Finding the Fourth Proportional to 278,148.94, 419,308.13 and 259,610.58

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Solution

The fourth proportional to 278,148.94, 419,308.13 and 259,610.58 is: 391,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,148.94 : 419,308.13 = 259,610.58 : x
  2. Step 2: Convert to fraction form
    278,148.94/419,308.13 = 259,610.58/x
  3. Step 3: Cross multiply
    278,148.94x = 419,308.13 × 259,610.58
  4. Step 4: Simplify right side
    278,148.94x = 108,856,827,477.04
  5. Step 5: Solve for x
    x = 108,856,827,477.04/278,148.94
  6. Step 6: Final answer
    x = 391,361.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.