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Finding the Fourth Proportional to 298,252.64, 411,576.30 and 162,287.12

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Solution

The fourth proportional to 298,252.64, 411,576.30 and 162,287.12 is: 223,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,252.64 : 411,576.30 = 162,287.12 : x
  2. Step 2: Convert to fraction form
    298,252.64/411,576.30 = 162,287.12/x
  3. Step 3: Cross multiply
    298,252.64x = 411,576.30 × 162,287.12
  4. Step 4: Simplify right side
    298,252.64x = 66,793,532,387.26
  5. Step 5: Solve for x
    x = 66,793,532,387.26/298,252.64
  6. Step 6: Final answer
    x = 223,949.51

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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.