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Finding the Fourth Proportional to 312,662.25, 431,830.31 and 211,885.29

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Solution

The fourth proportional to 312,662.25, 431,830.31 and 211,885.29 is: 292,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,662.25 : 431,830.31 = 211,885.29 : x
  2. Step 2: Convert to fraction form
    312,662.25/431,830.31 = 211,885.29/x
  3. Step 3: Cross multiply
    312,662.25x = 431,830.31 × 211,885.29
  4. Step 4: Simplify right side
    312,662.25x = 91,498,489,405.71
  5. Step 5: Solve for x
    x = 91,498,489,405.71/312,662.25
  6. Step 6: Final answer
    x = 292,643.23

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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.