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Finding the Fourth Proportional to 429,404.70, 644,107.05 and 219,015.30

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Solution

The fourth proportional to 429,404.70, 644,107.05 and 219,015.30 is: 328,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,404.70 : 644,107.05 = 219,015.30 : x
  2. Step 2: Convert to fraction form
    429,404.70/644,107.05 = 219,015.30/x
  3. Step 3: Cross multiply
    429,404.70x = 644,107.05 × 219,015.30
  4. Step 4: Simplify right side
    429,404.70x = 141,069,298,787.87
  5. Step 5: Solve for x
    x = 141,069,298,787.87/429,404.70
  6. Step 6: Final answer
    x = 328,522.95

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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.