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Finding the Fourth Proportional to 419,846.40, 629,769.60 and 415,909.80

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Solution

The fourth proportional to 419,846.40, 629,769.60 and 415,909.80 is: 623,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,846.40 : 629,769.60 = 415,909.80 : x
  2. Step 2: Convert to fraction form
    419,846.40/629,769.60 = 415,909.80/x
  3. Step 3: Cross multiply
    419,846.40x = 629,769.60 × 415,909.80
  4. Step 4: Simplify right side
    419,846.40x = 261,927,348,382.08
  5. Step 5: Solve for x
    x = 261,927,348,382.08/419,846.40
  6. Step 6: Final answer
    x = 623,864.70

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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.