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Finding the Fourth Proportional to 298,959.90, 448,439.85 and 214,979.10

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Solution

The fourth proportional to 298,959.90, 448,439.85 and 214,979.10 is: 322,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,959.90 : 448,439.85 = 214,979.10 : x
  2. Step 2: Convert to fraction form
    298,959.90/448,439.85 = 214,979.10/x
  3. Step 3: Cross multiply
    298,959.90x = 448,439.85 × 214,979.10
  4. Step 4: Simplify right side
    298,959.90x = 96,405,195,357.14
  5. Step 5: Solve for x
    x = 96,405,195,357.14/298,959.90
  6. Step 6: Final answer
    x = 322,468.65

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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.