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Finding the Fourth Proportional to 298,709.94, 448,016.31 and 121,209.78

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Solution

The fourth proportional to 298,709.94, 448,016.31 and 121,209.78 is: 181,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.94 : 448,016.31 = 121,209.78 : x
  2. Step 2: Convert to fraction form
    298,709.94/448,016.31 = 121,209.78/x
  3. Step 3: Cross multiply
    298,709.94x = 448,016.31 × 121,209.78
  4. Step 4: Simplify right side
    298,709.94x = 54,303,958,371.51
  5. Step 5: Solve for x
    x = 54,303,958,371.51/298,709.94
  6. Step 6: Final answer
    x = 181,794.95

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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.