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Finding the Fourth Proportional to 274,142.83, 410,899.35 and 171,606.21

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Solution

The fourth proportional to 274,142.83, 410,899.35 and 171,606.21 is: 257,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,142.83 : 410,899.35 = 171,606.21 : x
  2. Step 2: Convert to fraction form
    274,142.83/410,899.35 = 171,606.21/x
  3. Step 3: Cross multiply
    274,142.83x = 410,899.35 × 171,606.21
  4. Step 4: Simplify right side
    274,142.83x = 70,512,880,144.96
  5. Step 5: Solve for x
    x = 70,512,880,144.96/274,142.83
  6. Step 6: Final answer
    x = 257,212.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.