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Finding the Fourth Proportional to 281,161.20, 421,741.80 and 254,042.40

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Solution

The fourth proportional to 281,161.20, 421,741.80 and 254,042.40 is: 381,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,161.20 : 421,741.80 = 254,042.40 : x
  2. Step 2: Convert to fraction form
    281,161.20/421,741.80 = 254,042.40/x
  3. Step 3: Cross multiply
    281,161.20x = 421,741.80 × 254,042.40
  4. Step 4: Simplify right side
    281,161.20x = 107,140,299,052.32
  5. Step 5: Solve for x
    x = 107,140,299,052.32/281,161.20
  6. Step 6: Final answer
    x = 381,063.60

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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.