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Finding the Fourth Proportional to 312,563.87, 431,336.41 and 169,326.71

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Solution

The fourth proportional to 312,563.87, 431,336.41 and 169,326.71 is: 233,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,563.87 : 431,336.41 = 169,326.71 : x
  2. Step 2: Convert to fraction form
    312,563.87/431,336.41 = 169,326.71/x
  3. Step 3: Cross multiply
    312,563.87x = 431,336.41 × 169,326.71
  4. Step 4: Simplify right side
    312,563.87x = 73,036,775,208.51
  5. Step 5: Solve for x
    x = 73,036,775,208.51/312,563.87
  6. Step 6: Final answer
    x = 233,669.92

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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.