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Finding the Fourth Proportional to 298,189.64, 411,491.16 and 162,219.80

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Solution

The fourth proportional to 298,189.64, 411,491.16 and 162,219.80 is: 223,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,189.64 : 411,491.16 = 162,219.80 : x
  2. Step 2: Convert to fraction form
    298,189.64/411,491.16 = 162,219.80/x
  3. Step 3: Cross multiply
    298,189.64x = 411,491.16 × 162,219.80
  4. Step 4: Simplify right side
    298,189.64x = 66,752,013,676.97
  5. Step 5: Solve for x
    x = 66,752,013,676.97/298,189.64
  6. Step 6: Final answer
    x = 223,857.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.