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Finding the Fourth Proportional to 317,711.25, 438,539.94 and 204,534

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Solution

The fourth proportional to 317,711.25, 438,539.94 and 204,534 is: 282,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,711.25 : 438,539.94 = 204,534 : x
  2. Step 2: Convert to fraction form
    317,711.25/438,539.94 = 204,534/x
  3. Step 3: Cross multiply
    317,711.25x = 438,539.94 × 204,534
  4. Step 4: Simplify right side
    317,711.25x = 89,696,328,087.96
  5. Step 5: Solve for x
    x = 89,696,328,087.96/317,711.25
  6. Step 6: Final answer
    x = 282,320.28

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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.