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Finding the Fourth Proportional to 309,439.88, 463,676.70 and 214,854.44

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Solution

The fourth proportional to 309,439.88, 463,676.70 and 214,854.44 is: 321,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,439.88 : 463,676.70 = 214,854.44 : x
  2. Step 2: Convert to fraction form
    309,439.88/463,676.70 = 214,854.44/x
  3. Step 3: Cross multiply
    309,439.88x = 463,676.70 × 214,854.44
  4. Step 4: Simplify right side
    309,439.88x = 99,622,997,719.55
  5. Step 5: Solve for x
    x = 99,622,997,719.55/309,439.88
  6. Step 6: Final answer
    x = 321,946.21

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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.