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Finding the Fourth Proportional to 419,984.64, 629,665.92 and 253,733.76

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Solution

The fourth proportional to 419,984.64, 629,665.92 and 253,733.76 is: 380,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,984.64 : 629,665.92 = 253,733.76 : x
  2. Step 2: Convert to fraction form
    419,984.64/629,665.92 = 253,733.76/x
  3. Step 3: Cross multiply
    419,984.64x = 629,665.92 × 253,733.76
  4. Step 4: Simplify right side
    419,984.64x = 159,767,501,425.46
  5. Step 5: Solve for x
    x = 159,767,501,425.46/419,984.64
  6. Step 6: Final answer
    x = 380,412.73

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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.