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Finding the Fourth Proportional to 371,212, 512,272.92 and 201,446.16

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Solution

The fourth proportional to 371,212, 512,272.92 and 201,446.16 is: 277,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,212 : 512,272.92 = 201,446.16 : x
  2. Step 2: Convert to fraction form
    371,212/512,272.92 = 201,446.16/x
  3. Step 3: Cross multiply
    371,212x = 512,272.92 × 201,446.16
  4. Step 4: Simplify right side
    371,212x = 103,195,412,605.99
  5. Step 5: Solve for x
    x = 103,195,412,605.99/371,212
  6. Step 6: Final answer
    x = 277,995.90

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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.