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Finding the Fourth Proportional to 278,898.54, 418,519.53 and 110,390.19

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Solution

The fourth proportional to 278,898.54, 418,519.53 and 110,390.19 is: 165,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,898.54 : 418,519.53 = 110,390.19 : x
  2. Step 2: Convert to fraction form
    278,898.54/418,519.53 = 110,390.19/x
  3. Step 3: Cross multiply
    278,898.54x = 418,519.53 × 110,390.19
  4. Step 4: Simplify right side
    278,898.54x = 46,200,450,435.41
  5. Step 5: Solve for x
    x = 46,200,450,435.41/278,898.54
  6. Step 6: Final answer
    x = 165,653.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.