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Finding the Fourth Proportional to 429,455.70, 644,183.55 and 271,862.10

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Solution

The fourth proportional to 429,455.70, 644,183.55 and 271,862.10 is: 407,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,455.70 : 644,183.55 = 271,862.10 : x
  2. Step 2: Convert to fraction form
    429,455.70/644,183.55 = 271,862.10/x
  3. Step 3: Cross multiply
    429,455.70x = 644,183.55 × 271,862.10
  4. Step 4: Simplify right side
    429,455.70x = 175,129,092,688.46
  5. Step 5: Solve for x
    x = 175,129,092,688.46/429,455.70
  6. Step 6: Final answer
    x = 407,793.15

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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.