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Finding the Fourth Proportional to 403,711.38, 605,685.48 and 119,409.42

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Solution

The fourth proportional to 403,711.38, 605,685.48 and 119,409.42 is: 179,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.38 : 605,685.48 = 119,409.42 : x
  2. Step 2: Convert to fraction form
    403,711.38/605,685.48 = 119,409.42/x
  3. Step 3: Cross multiply
    403,711.38x = 605,685.48 × 119,409.42
  4. Step 4: Simplify right side
    403,711.38x = 72,324,551,869.22
  5. Step 5: Solve for x
    x = 72,324,551,869.22/403,711.38
  6. Step 6: Final answer
    x = 179,149.15

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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.