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Finding the Fourth Proportional to 523,901.61, 785,857.91 and 419,384.97

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Solution

The fourth proportional to 523,901.61, 785,857.91 and 419,384.97 is: 629,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,901.61 : 785,857.91 = 419,384.97 : x
  2. Step 2: Convert to fraction form
    523,901.61/785,857.91 = 419,384.97/x
  3. Step 3: Cross multiply
    523,901.61x = 785,857.91 × 419,384.97
  4. Step 4: Simplify right side
    523,901.61x = 329,576,993,912.69
  5. Step 5: Solve for x
    x = 329,576,993,912.69/523,901.61
  6. Step 6: Final answer
    x = 629,081.85

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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.