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Finding the Fourth Proportional to 458,804.56, 687,942.24 and 177,993.76

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Solution

The fourth proportional to 458,804.56, 687,942.24 and 177,993.76 is: 266,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,804.56 : 687,942.24 = 177,993.76 : x
  2. Step 2: Convert to fraction form
    458,804.56/687,942.24 = 177,993.76/x
  3. Step 3: Cross multiply
    458,804.56x = 687,942.24 × 177,993.76
  4. Step 4: Simplify right side
    458,804.56x = 122,449,425,960.42
  5. Step 5: Solve for x
    x = 122,449,425,960.42/458,804.56
  6. Step 6: Final answer
    x = 266,887.99

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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.