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Finding the Fourth Proportional to 312,879.76, 431,772 and 169,639.36

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Solution

The fourth proportional to 312,879.76, 431,772 and 169,639.36 is: 234,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,879.76 : 431,772 = 169,639.36 : x
  2. Step 2: Convert to fraction form
    312,879.76/431,772 = 169,639.36/x
  3. Step 3: Cross multiply
    312,879.76x = 431,772 × 169,639.36
  4. Step 4: Simplify right side
    312,879.76x = 73,245,525,745.92
  5. Step 5: Solve for x
    x = 73,245,525,745.92/312,879.76
  6. Step 6: Final answer
    x = 234,101.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.