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Finding the Fourth Proportional to 278,866.75, 418,225.40 and 121,057.69

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Solution

The fourth proportional to 278,866.75, 418,225.40 and 121,057.69 is: 181,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,866.75 : 418,225.40 = 121,057.69 : x
  2. Step 2: Convert to fraction form
    278,866.75/418,225.40 = 121,057.69/x
  3. Step 3: Cross multiply
    278,866.75x = 418,225.40 × 121,057.69
  4. Step 4: Simplify right side
    278,866.75x = 50,629,400,823.33
  5. Step 5: Solve for x
    x = 50,629,400,823.33/278,866.75
  6. Step 6: Final answer
    x = 181,554.10

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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.