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Finding the Fourth Proportional to 298,871.29, 448,345.77 and 121,384.09

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Solution

The fourth proportional to 298,871.29, 448,345.77 and 121,384.09 is: 182,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,871.29 : 448,345.77 = 121,384.09 : x
  2. Step 2: Convert to fraction form
    298,871.29/448,345.77 = 121,384.09/x
  3. Step 3: Cross multiply
    298,871.29x = 448,345.77 × 121,384.09
  4. Step 4: Simplify right side
    298,871.29x = 54,422,043,296.80
  5. Step 5: Solve for x
    x = 54,422,043,296.80/298,871.29
  6. Step 6: Final answer
    x = 182,091.91

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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.