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Finding the Fourth Proportional to 317,721.34, 438,553.74 and 204,544

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Solution

The fourth proportional to 317,721.34, 438,553.74 and 204,544 is: 282,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,721.34 : 438,553.74 = 204,544 : x
  2. Step 2: Convert to fraction form
    317,721.34/438,553.74 = 204,544/x
  3. Step 3: Cross multiply
    317,721.34x = 438,553.74 × 204,544
  4. Step 4: Simplify right side
    317,721.34x = 89,703,536,194.56
  5. Step 5: Solve for x
    x = 89,703,536,194.56/317,721.34
  6. Step 6: Final answer
    x = 282,334.00

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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.