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Finding the Fourth Proportional to 317,955.78, 438,653.25 and 204,844.50

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Solution

The fourth proportional to 317,955.78, 438,653.25 and 204,844.50 is: 282,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,955.78 : 438,653.25 = 204,844.50 : x
  2. Step 2: Convert to fraction form
    317,955.78/438,653.25 = 204,844.50/x
  3. Step 3: Cross multiply
    317,955.78x = 438,653.25 × 204,844.50
  4. Step 4: Simplify right side
    317,955.78x = 89,855,705,669.63
  5. Step 5: Solve for x
    x = 89,855,705,669.63/317,955.78
  6. Step 6: Final answer
    x = 282,604.41

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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.