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Finding the Fourth Proportional to 429,498.40, 644,903.70 and 329,771.20

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Solution

The fourth proportional to 429,498.40, 644,903.70 and 329,771.20 is: 495,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,498.40 : 644,903.70 = 329,771.20 : x
  2. Step 2: Convert to fraction form
    429,498.40/644,903.70 = 329,771.20/x
  3. Step 3: Cross multiply
    429,498.40x = 644,903.70 × 329,771.20
  4. Step 4: Simplify right side
    429,498.40x = 212,670,667,033.44
  5. Step 5: Solve for x
    x = 212,670,667,033.44/429,498.40
  6. Step 6: Final answer
    x = 495,160.56

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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.