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Finding the Fourth Proportional to 317,706.25, 438,533.04 and 204,529

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Solution

The fourth proportional to 317,706.25, 438,533.04 and 204,529 is: 282,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,706.25 : 438,533.04 = 204,529 : x
  2. Step 2: Convert to fraction form
    317,706.25/438,533.04 = 204,529/x
  3. Step 3: Cross multiply
    317,706.25x = 438,533.04 × 204,529
  4. Step 4: Simplify right side
    317,706.25x = 89,692,724,138.16
  5. Step 5: Solve for x
    x = 89,692,724,138.16/317,706.25
  6. Step 6: Final answer
    x = 282,313.38

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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.