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Finding the Fourth Proportional to 419,821.60, 629,732.40 and 170,682.40

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Solution

The fourth proportional to 419,821.60, 629,732.40 and 170,682.40 is: 256,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,821.60 : 629,732.40 = 170,682.40 : x
  2. Step 2: Convert to fraction form
    419,821.60/629,732.40 = 170,682.40/x
  3. Step 3: Cross multiply
    419,821.60x = 629,732.40 × 170,682.40
  4. Step 4: Simplify right side
    419,821.60x = 107,484,237,389.76
  5. Step 5: Solve for x
    x = 107,484,237,389.76/419,821.60
  6. Step 6: Final answer
    x = 256,023.60

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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.