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Finding the Fourth Proportional to 309,938.83, 464,846.97 and 85,241.26

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Solution

The fourth proportional to 309,938.83, 464,846.97 and 85,241.26 is: 127,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,938.83 : 464,846.97 = 85,241.26 : x
  2. Step 2: Convert to fraction form
    309,938.83/464,846.97 = 85,241.26/x
  3. Step 3: Cross multiply
    309,938.83x = 464,846.97 × 85,241.26
  4. Step 4: Simplify right side
    309,938.83x = 39,624,141,429.98
  5. Step 5: Solve for x
    x = 39,624,141,429.98/309,938.83
  6. Step 6: Final answer
    x = 127,845.04

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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.