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Finding the Fourth Proportional to 309,645.69, 464,469.24 and 85,009.20

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Solution

The fourth proportional to 309,645.69, 464,469.24 and 85,009.20 is: 127,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,645.69 : 464,469.24 = 85,009.20 : x
  2. Step 2: Convert to fraction form
    309,645.69/464,469.24 = 85,009.20/x
  3. Step 3: Cross multiply
    309,645.69x = 464,469.24 × 85,009.20
  4. Step 4: Simplify right side
    309,645.69x = 39,484,158,517.01
  5. Step 5: Solve for x
    x = 39,484,158,517.01/309,645.69
  6. Step 6: Final answer
    x = 127,513.99

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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.