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Finding the Fourth Proportional to 228,313.49, 315,160.93 and 204,398.60

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Solution

The fourth proportional to 228,313.49, 315,160.93 and 204,398.60 is: 282,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,313.49 : 315,160.93 = 204,398.60 : x
  2. Step 2: Convert to fraction form
    228,313.49/315,160.93 = 204,398.60/x
  3. Step 3: Cross multiply
    228,313.49x = 315,160.93 × 204,398.60
  4. Step 4: Simplify right side
    228,313.49x = 64,418,453,910.10
  5. Step 5: Solve for x
    x = 64,418,453,910.10/228,313.49
  6. Step 6: Final answer
    x = 282,149.13

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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.