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Finding the Fourth Proportional to 312,569.43, 431,062.35 and 205,098.63

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Solution

The fourth proportional to 312,569.43, 431,062.35 and 205,098.63 is: 282,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,569.43 : 431,062.35 = 205,098.63 : x
  2. Step 2: Convert to fraction form
    312,569.43/431,062.35 = 205,098.63/x
  3. Step 3: Cross multiply
    312,569.43x = 431,062.35 × 205,098.63
  4. Step 4: Simplify right side
    312,569.43x = 88,410,297,429.58
  5. Step 5: Solve for x
    x = 88,410,297,429.58/312,569.43
  6. Step 6: Final answer
    x = 282,850.11

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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.