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Finding the Fourth Proportional to 419,580.45, 629,305.36 and 230,134

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Solution

The fourth proportional to 419,580.45, 629,305.36 and 230,134 is: 345,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,580.45 : 629,305.36 = 230,134 : x
  2. Step 2: Convert to fraction form
    419,580.45/629,305.36 = 230,134/x
  3. Step 3: Cross multiply
    419,580.45x = 629,305.36 × 230,134
  4. Step 4: Simplify right side
    419,580.45x = 144,824,559,718.24
  5. Step 5: Solve for x
    x = 144,824,559,718.24/419,580.45
  6. Step 6: Final answer
    x = 345,165.18

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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.