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Finding the Fourth Proportional to 321,461.34, 481,725.45 and 180,919.86

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Solution

The fourth proportional to 321,461.34, 481,725.45 and 180,919.86 is: 271,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,461.34 : 481,725.45 = 180,919.86 : x
  2. Step 2: Convert to fraction form
    321,461.34/481,725.45 = 180,919.86/x
  3. Step 3: Cross multiply
    321,461.34x = 481,725.45 × 180,919.86
  4. Step 4: Simplify right side
    321,461.34x = 87,153,700,972.44
  5. Step 5: Solve for x
    x = 87,153,700,972.44/321,461.34
  6. Step 6: Final answer
    x = 271,117.21

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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.