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Finding the Fourth Proportional to 330,796.29, 495,734.76 and 172,709.40

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Solution

The fourth proportional to 330,796.29, 495,734.76 and 172,709.40 is: 258,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,796.29 : 495,734.76 = 172,709.40 : x
  2. Step 2: Convert to fraction form
    330,796.29/495,734.76 = 172,709.40/x
  3. Step 3: Cross multiply
    330,796.29x = 495,734.76 × 172,709.40
  4. Step 4: Simplify right side
    330,796.29x = 85,618,052,958.74
  5. Step 5: Solve for x
    x = 85,618,052,958.74/330,796.29
  6. Step 6: Final answer
    x = 258,824.10

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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.