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Finding the Fourth Proportional to 403,699.68, 605,187.72 and 166,890.96

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Solution

The fourth proportional to 403,699.68, 605,187.72 and 166,890.96 is: 250,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,699.68 : 605,187.72 = 166,890.96 : x
  2. Step 2: Convert to fraction form
    403,699.68/605,187.72 = 166,890.96/x
  3. Step 3: Cross multiply
    403,699.68x = 605,187.72 × 166,890.96
  4. Step 4: Simplify right side
    403,699.68x = 101,000,359,571.01
  5. Step 5: Solve for x
    x = 101,000,359,571.01/403,699.68
  6. Step 6: Final answer
    x = 250,186.87

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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.