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Finding the Fourth Proportional to 312,669.44, 431,485.32 and 169,429.44

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Solution

The fourth proportional to 312,669.44, 431,485.32 and 169,429.44 is: 233,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,669.44 : 431,485.32 = 169,429.44 : x
  2. Step 2: Convert to fraction form
    312,669.44/431,485.32 = 169,429.44/x
  3. Step 3: Cross multiply
    312,669.44x = 431,485.32 × 169,429.44
  4. Step 4: Simplify right side
    312,669.44x = 73,106,316,135.82
  5. Step 5: Solve for x
    x = 73,106,316,135.82/312,669.44
  6. Step 6: Final answer
    x = 233,813.44

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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.