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Finding the Fourth Proportional to 309,601.92, 464,403.29 and 84,965.43

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Solution

The fourth proportional to 309,601.92, 464,403.29 and 84,965.43 is: 127,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,601.92 : 464,403.29 = 84,965.43 : x
  2. Step 2: Convert to fraction form
    309,601.92/464,403.29 = 84,965.43/x
  3. Step 3: Cross multiply
    309,601.92x = 464,403.29 × 84,965.43
  4. Step 4: Simplify right side
    309,601.92x = 39,458,224,803.44
  5. Step 5: Solve for x
    x = 39,458,224,803.44/309,601.92
  6. Step 6: Final answer
    x = 127,448.26

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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.