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Finding the Fourth Proportional to 298,899.30, 448,469.10 and 121,420.20

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Solution

The fourth proportional to 298,899.30, 448,469.10 and 121,420.20 is: 182,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,899.30 : 448,469.10 = 121,420.20 : x
  2. Step 2: Convert to fraction form
    298,899.30/448,469.10 = 121,420.20/x
  3. Step 3: Cross multiply
    298,899.30x = 448,469.10 × 121,420.20
  4. Step 4: Simplify right side
    298,899.30x = 54,453,207,815.82
  5. Step 5: Solve for x
    x = 54,453,207,815.82/298,899.30
  6. Step 6: Final answer
    x = 182,179.11

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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.