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Finding the Fourth Proportional to 312,329.56, 430,719.78 and 204,992.68

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Solution

The fourth proportional to 312,329.56, 430,719.78 and 204,992.68 is: 282,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,329.56 : 430,719.78 = 204,992.68 : x
  2. Step 2: Convert to fraction form
    312,329.56/430,719.78 = 204,992.68/x
  3. Step 3: Cross multiply
    312,329.56x = 430,719.78 × 204,992.68
  4. Step 4: Simplify right side
    312,329.56x = 88,294,402,031.21
  5. Step 5: Solve for x
    x = 88,294,402,031.21/312,329.56
  6. Step 6: Final answer
    x = 282,696.27

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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.