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Finding the Fourth Proportional to 306,405.81, 459,651.75 and 81,773.55

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Solution

The fourth proportional to 306,405.81, 459,651.75 and 81,773.55 is: 122,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405.81 : 459,651.75 = 81,773.55 : x
  2. Step 2: Convert to fraction form
    306,405.81/459,651.75 = 81,773.55/x
  3. Step 3: Cross multiply
    306,405.81x = 459,651.75 × 81,773.55
  4. Step 4: Simplify right side
    306,405.81x = 37,587,355,361.21
  5. Step 5: Solve for x
    x = 37,587,355,361.21/306,405.81
  6. Step 6: Final answer
    x = 122,671.81

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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.