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Finding the Fourth Proportional to 355,229.82, 490,211.36 and 194,081.40

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Solution

The fourth proportional to 355,229.82, 490,211.36 and 194,081.40 is: 267,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,229.82 : 490,211.36 = 194,081.40 : x
  2. Step 2: Convert to fraction form
    355,229.82/490,211.36 = 194,081.40/x
  3. Step 3: Cross multiply
    355,229.82x = 490,211.36 × 194,081.40
  4. Step 4: Simplify right side
    355,229.82x = 95,140,906,802.10
  5. Step 5: Solve for x
    x = 95,140,906,802.10/355,229.82
  6. Step 6: Final answer
    x = 267,829.17

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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.