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Finding the Fourth Proportional to 419,700.84, 629,674.32 and 135,385.68

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Solution

The fourth proportional to 419,700.84, 629,674.32 and 135,385.68 is: 203,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,700.84 : 629,674.32 = 135,385.68 : x
  2. Step 2: Convert to fraction form
    419,700.84/629,674.32 = 135,385.68/x
  3. Step 3: Cross multiply
    419,700.84x = 629,674.32 × 135,385.68
  4. Step 4: Simplify right side
    419,700.84x = 85,248,885,991.74
  5. Step 5: Solve for x
    x = 85,248,885,991.74/419,700.84
  6. Step 6: Final answer
    x = 203,118.22

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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.