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Finding the Fourth Proportional to 309,217.89, 463,503.11 and 129,406.34

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Solution

The fourth proportional to 309,217.89, 463,503.11 and 129,406.34 is: 193,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,217.89 : 463,503.11 = 129,406.34 : x
  2. Step 2: Convert to fraction form
    309,217.89/463,503.11 = 129,406.34/x
  3. Step 3: Cross multiply
    309,217.89x = 463,503.11 × 129,406.34
  4. Step 4: Simplify right side
    309,217.89x = 59,980,241,043.72
  5. Step 5: Solve for x
    x = 59,980,241,043.72/309,217.89
  6. Step 6: Final answer
    x = 193,974.03

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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.