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Finding the Fourth Proportional to 403,711.15, 605,685.16 and 119,409.20

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Solution

The fourth proportional to 403,711.15, 605,685.16 and 119,409.20 is: 179,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.15 : 605,685.16 = 119,409.20 : x
  2. Step 2: Convert to fraction form
    403,711.15/605,685.16 = 119,409.20/x
  3. Step 3: Cross multiply
    403,711.15x = 605,685.16 × 119,409.20
  4. Step 4: Simplify right side
    403,711.15x = 72,324,380,407.47
  5. Step 5: Solve for x
    x = 72,324,380,407.47/403,711.15
  6. Step 6: Final answer
    x = 179,148.83

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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.