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Finding the Fourth Proportional to 312,580.44, 431,358.62 and 169,339.46

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Solution

The fourth proportional to 312,580.44, 431,358.62 and 169,339.46 is: 233,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,580.44 : 431,358.62 = 169,339.46 : x
  2. Step 2: Convert to fraction form
    312,580.44/431,358.62 = 169,339.46/x
  3. Step 3: Cross multiply
    312,580.44x = 431,358.62 × 169,339.46
  4. Step 4: Simplify right side
    312,580.44x = 73,046,032,773.65
  5. Step 5: Solve for x
    x = 73,046,032,773.65/312,580.44
  6. Step 6: Final answer
    x = 233,687.15

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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.