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Finding the Fourth Proportional to 419,612.49, 629,423.09 and 335,904.76

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Solution

The fourth proportional to 419,612.49, 629,423.09 and 335,904.76 is: 503,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,612.49 : 629,423.09 = 335,904.76 : x
  2. Step 2: Convert to fraction form
    419,612.49/629,423.09 = 335,904.76/x
  3. Step 3: Cross multiply
    419,612.49x = 629,423.09 × 335,904.76
  4. Step 4: Simplify right side
    419,612.49x = 211,426,211,984.91
  5. Step 5: Solve for x
    x = 211,426,211,984.91/419,612.49
  6. Step 6: Final answer
    x = 503,860.63

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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.