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Finding the Fourth Proportional to 312,629.94, 431,429.22 and 169,390.08

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Solution

The fourth proportional to 312,629.94, 431,429.22 and 169,390.08 is: 233,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,629.94 : 431,429.22 = 169,390.08 : x
  2. Step 2: Convert to fraction form
    312,629.94/431,429.22 = 169,390.08/x
  3. Step 3: Cross multiply
    312,629.94x = 431,429.22 × 169,390.08
  4. Step 4: Simplify right side
    312,629.94x = 73,079,830,090.14
  5. Step 5: Solve for x
    x = 73,079,830,090.14/312,629.94
  6. Step 6: Final answer
    x = 233,758.26

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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.