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Finding the Fourth Proportional to 280,576.92, 421,033.08 and 103,101.88

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Solution

The fourth proportional to 280,576.92, 421,033.08 and 103,101.88 is: 154,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,576.92 : 421,033.08 = 103,101.88 : x
  2. Step 2: Convert to fraction form
    280,576.92/421,033.08 = 103,101.88/x
  3. Step 3: Cross multiply
    280,576.92x = 421,033.08 × 103,101.88
  4. Step 4: Simplify right side
    280,576.92x = 43,409,302,090.19
  5. Step 5: Solve for x
    x = 43,409,302,090.19/280,576.92
  6. Step 6: Final answer
    x = 154,714.44

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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.