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Finding the Fourth Proportional to 462,614.88, 638,400.24 and 261,406.56

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Solution

The fourth proportional to 462,614.88, 638,400.24 and 261,406.56 is: 360,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,614.88 : 638,400.24 = 261,406.56 : x
  2. Step 2: Convert to fraction form
    462,614.88/638,400.24 = 261,406.56/x
  3. Step 3: Cross multiply
    462,614.88x = 638,400.24 × 261,406.56
  4. Step 4: Simplify right side
    462,614.88x = 166,882,010,641.57
  5. Step 5: Solve for x
    x = 166,882,010,641.57/462,614.88
  6. Step 6: Final answer
    x = 360,736.37

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