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Finding the Fourth Proportional to 429,400.20, 644,100.30 and 271,806.60

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Solution

The fourth proportional to 429,400.20, 644,100.30 and 271,806.60 is: 407,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,400.20 : 644,100.30 = 271,806.60 : x
  2. Step 2: Convert to fraction form
    429,400.20/644,100.30 = 271,806.60/x
  3. Step 3: Cross multiply
    429,400.20x = 644,100.30 × 271,806.60
  4. Step 4: Simplify right side
    429,400.20x = 175,070,712,601.98
  5. Step 5: Solve for x
    x = 175,070,712,601.98/429,400.20
  6. Step 6: Final answer
    x = 407,709.90

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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.