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Finding the Fourth Proportional to 285,926.94, 428,212.44 and 226,571.76

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Solution

The fourth proportional to 285,926.94, 428,212.44 and 226,571.76 is: 339,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,926.94 : 428,212.44 = 226,571.76 : x
  2. Step 2: Convert to fraction form
    285,926.94/428,212.44 = 226,571.76/x
  3. Step 3: Cross multiply
    285,926.94x = 428,212.44 × 226,571.76
  4. Step 4: Simplify right side
    285,926.94x = 97,020,846,184.69
  5. Step 5: Solve for x
    x = 97,020,846,184.69/285,926.94
  6. Step 6: Final answer
    x = 339,320.41

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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.