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Finding the Fourth Proportional to 312,273.94, 430,939.08 and 169,033.92

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Solution

The fourth proportional to 312,273.94, 430,939.08 and 169,033.92 is: 233,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,273.94 : 430,939.08 = 169,033.92 : x
  2. Step 2: Convert to fraction form
    312,273.94/430,939.08 = 169,033.92/x
  3. Step 3: Cross multiply
    312,273.94x = 430,939.08 × 169,033.92
  4. Step 4: Simplify right side
    312,273.94x = 72,843,321,973.59
  5. Step 5: Solve for x
    x = 72,843,321,973.59/312,273.94
  6. Step 6: Final answer
    x = 233,267.37

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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.