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Finding the Fourth Proportional to 309,653.08, 464,480.31 and 85,016.59

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Solution

The fourth proportional to 309,653.08, 464,480.31 and 85,016.59 is: 127,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,653.08 : 464,480.31 = 85,016.59 : x
  2. Step 2: Convert to fraction form
    309,653.08/464,480.31 = 85,016.59/x
  3. Step 3: Cross multiply
    309,653.08x = 464,480.31 × 85,016.59
  4. Step 4: Simplify right side
    309,653.08x = 39,488,532,078.34
  5. Step 5: Solve for x
    x = 39,488,532,078.34/309,653.08
  6. Step 6: Final answer
    x = 127,525.07

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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.