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Finding the Fourth Proportional to 420,633.60, 629,913.60 and 279,628.80

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Solution

The fourth proportional to 420,633.60, 629,913.60 and 279,628.80 is: 418,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.60 : 629,913.60 = 279,628.80 : x
  2. Step 2: Convert to fraction form
    420,633.60/629,913.60 = 279,628.80/x
  3. Step 3: Cross multiply
    420,633.60x = 629,913.60 × 279,628.80
  4. Step 4: Simplify right side
    420,633.60x = 176,141,984,071.68
  5. Step 5: Solve for x
    x = 176,141,984,071.68/420,633.60
  6. Step 6: Final answer
    x = 418,753.96

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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.