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Finding the Fourth Proportional to 309,886.85, 464,769.07 and 85,189.31

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Solution

The fourth proportional to 309,886.85, 464,769.07 and 85,189.31 is: 127,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,886.85 : 464,769.07 = 85,189.31 : x
  2. Step 2: Convert to fraction form
    309,886.85/464,769.07 = 85,189.31/x
  3. Step 3: Cross multiply
    309,886.85x = 464,769.07 × 85,189.31
  4. Step 4: Simplify right side
    309,886.85x = 39,593,356,382.64
  5. Step 5: Solve for x
    x = 39,593,356,382.64/309,886.85
  6. Step 6: Final answer
    x = 127,767.14

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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.