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Finding the Fourth Proportional to 371,100.42, 512,120.34 and 201,334.50

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Solution

The fourth proportional to 371,100.42, 512,120.34 and 201,334.50 is: 277,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,100.42 : 512,120.34 = 201,334.50 : x
  2. Step 2: Convert to fraction form
    371,100.42/512,120.34 = 201,334.50/x
  3. Step 3: Cross multiply
    371,100.42x = 512,120.34 × 201,334.50
  4. Step 4: Simplify right side
    371,100.42x = 103,107,492,593.73
  5. Step 5: Solve for x
    x = 103,107,492,593.73/371,100.42
  6. Step 6: Final answer
    x = 277,842.57

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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.