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Finding the Fourth Proportional to 281,143.30, 421,812.15 and 271,423.30

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Solution

The fourth proportional to 281,143.30, 421,812.15 and 271,423.30 is: 407,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,143.30 : 421,812.15 = 271,423.30 : x
  2. Step 2: Convert to fraction form
    281,143.30/421,812.15 = 271,423.30/x
  3. Step 3: Cross multiply
    281,143.30x = 421,812.15 × 271,423.30
  4. Step 4: Simplify right side
    281,143.30x = 114,489,645,733.10
  5. Step 5: Solve for x
    x = 114,489,645,733.10/281,143.30
  6. Step 6: Final answer
    x = 407,228.79

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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.