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Finding the Fourth Proportional to 298,081.28, 411,353.88 and 162,116.84

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Solution

The fourth proportional to 298,081.28, 411,353.88 and 162,116.84 is: 223,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,081.28 : 411,353.88 = 162,116.84 : x
  2. Step 2: Convert to fraction form
    298,081.28/411,353.88 = 162,116.84/x
  3. Step 3: Cross multiply
    298,081.28x = 411,353.88 × 162,116.84
  4. Step 4: Simplify right side
    298,081.28x = 66,687,391,147.34
  5. Step 5: Solve for x
    x = 66,687,391,147.34/298,081.28
  6. Step 6: Final answer
    x = 223,722.17

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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.