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Finding the Fourth Proportional to 309,692.24, 464,537.49 and 85,052.89

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Solution

The fourth proportional to 309,692.24, 464,537.49 and 85,052.89 is: 127,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,692.24 : 464,537.49 = 85,052.89 : x
  2. Step 2: Convert to fraction form
    309,692.24/464,537.49 = 85,052.89/x
  3. Step 3: Cross multiply
    309,692.24x = 464,537.49 × 85,052.89
  4. Step 4: Simplify right side
    309,692.24x = 39,510,256,299.57
  5. Step 5: Solve for x
    x = 39,510,256,299.57/309,692.24
  6. Step 6: Final answer
    x = 127,579.10

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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.