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Finding the Fourth Proportional to 317,720.34, 438,552.36 and 204,543

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Solution

The fourth proportional to 317,720.34, 438,552.36 and 204,543 is: 282,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,720.34 : 438,552.36 = 204,543 : x
  2. Step 2: Convert to fraction form
    317,720.34/438,552.36 = 204,543/x
  3. Step 3: Cross multiply
    317,720.34x = 438,552.36 × 204,543
  4. Step 4: Simplify right side
    317,720.34x = 89,702,815,371.48
  5. Step 5: Solve for x
    x = 89,702,815,371.48/317,720.34
  6. Step 6: Final answer
    x = 282,332.62

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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.