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Finding the Fourth Proportional to 312,477.92, 468,786.48 and 172,164.32

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Solution

The fourth proportional to 312,477.92, 468,786.48 and 172,164.32 is: 258,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,477.92 : 468,786.48 = 172,164.32 : x
  2. Step 2: Convert to fraction form
    312,477.92/468,786.48 = 172,164.32/x
  3. Step 3: Cross multiply
    312,477.92x = 468,786.48 × 172,164.32
  4. Step 4: Simplify right side
    312,477.92x = 80,708,305,554.39
  5. Step 5: Solve for x
    x = 80,708,305,554.39/312,477.92
  6. Step 6: Final answer
    x = 258,284.83

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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.