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Finding the Fourth Proportional to 419,810.40, 629,715.60 and 153,579.60

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Solution

The fourth proportional to 419,810.40, 629,715.60 and 153,579.60 is: 230,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,810.40 : 629,715.60 = 153,579.60 : x
  2. Step 2: Convert to fraction form
    419,810.40/629,715.60 = 153,579.60/x
  3. Step 3: Cross multiply
    419,810.40x = 629,715.60 × 153,579.60
  4. Step 4: Simplify right side
    419,810.40x = 96,711,469,961.76
  5. Step 5: Solve for x
    x = 96,711,469,961.76/419,810.40
  6. Step 6: Final answer
    x = 230,369.40

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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.