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Finding the Fourth Proportional to 523,865.27, 722,807.96 and 305,950.37

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Solution

The fourth proportional to 523,865.27, 722,807.96 and 305,950.37 is: 422,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,865.27 : 722,807.96 = 305,950.37 : x
  2. Step 2: Convert to fraction form
    523,865.27/722,807.96 = 305,950.37/x
  3. Step 3: Cross multiply
    523,865.27x = 722,807.96 × 305,950.37
  4. Step 4: Simplify right side
    523,865.27x = 221,143,357,657.15
  5. Step 5: Solve for x
    x = 221,143,357,657.15/523,865.27
  6. Step 6: Final answer
    x = 422,137.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.