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Finding the Fourth Proportional to 403,806.20, 605,790.30 and 119,496.20

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Solution

The fourth proportional to 403,806.20, 605,790.30 and 119,496.20 is: 179,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,806.20 : 605,790.30 = 119,496.20 : x
  2. Step 2: Convert to fraction form
    403,806.20/605,790.30 = 119,496.20/x
  3. Step 3: Cross multiply
    403,806.20x = 605,790.30 × 119,496.20
  4. Step 4: Simplify right side
    403,806.20x = 72,389,638,846.86
  5. Step 5: Solve for x
    x = 72,389,638,846.86/403,806.20
  6. Step 6: Final answer
    x = 179,268.27

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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.