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Finding the Fourth Proportional to 298,971.90, 448,234.65 and 180,618.30

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Solution

The fourth proportional to 298,971.90, 448,234.65 and 180,618.30 is: 270,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971.90 : 448,234.65 = 180,618.30 : x
  2. Step 2: Convert to fraction form
    298,971.90/448,234.65 = 180,618.30/x
  3. Step 3: Cross multiply
    298,971.90x = 448,234.65 × 180,618.30
  4. Step 4: Simplify right side
    298,971.90x = 80,959,380,484.10
  5. Step 5: Solve for x
    x = 80,959,380,484.10/298,971.90
  6. Step 6: Final answer
    x = 270,792.61

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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.