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Finding the Fourth Proportional to 420,148.56, 629,600.40 and 345,797.04

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Solution

The fourth proportional to 420,148.56, 629,600.40 and 345,797.04 is: 518,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,148.56 : 629,600.40 = 345,797.04 : x
  2. Step 2: Convert to fraction form
    420,148.56/629,600.40 = 345,797.04/x
  3. Step 3: Cross multiply
    420,148.56x = 629,600.40 × 345,797.04
  4. Step 4: Simplify right side
    420,148.56x = 217,713,954,702.82
  5. Step 5: Solve for x
    x = 217,713,954,702.82/420,148.56
  6. Step 6: Final answer
    x = 518,183.27

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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.